Don’t lose your progress!

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Up to 90+ points GMAT score improvement guarantee

The best guarantee you’ll find

Our Premium and Ultimate plans guarantee up to 90+ points score increase or your money back.

Master each section of the test

Comprehensive GMAT prep

We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.

Schedule-free studying

Learn on the go

Study whenever and wherever you want with our iOS and Android mobile apps.

The most effective way to study

Personalized GMAT prep, just for you!

Adaptive learning technology focuses on your academic weaknesses.

Lines & Angles: Parallel Lines

![](data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8"?>
<!-- Generator: Adobe Illustrator 22.1.0, SVG Export Plug-In . SVG Version: 6.00 Build 0)  -->
<svg version="1.1" id="Слой_1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px"
	 width="268.1px" height="186.7px" viewBox="0 0 268.1 186.7" style="enable-background:new 0 0 268.1 186.7;" xml:space="preserve"
	>
<style type="text/css">
	.st0{fill:none;stroke:#000000;stroke-width:2;stroke-miterlimit:10;}
	.st1{fill:none;stroke:#000000;stroke-width:2;stroke-linejoin:round;stroke-miterlimit:10;}
	.st2{fill:none;stroke:#000000;stroke-linejoin:round;stroke-miterlimit:10;}
</style>
<g>
	<line class="st0" x1="253" y1="178.4" x2="110.9" y2="178.4"/>
	<line class="st1" x1="0.7" y1="113.8" x2="111.5" y2="178.4"/>
	<line class="st0" x1="93.3" y1="4.9" x2="0.8" y2="114.8"/>
	<line class="st1" x1="253" y1="4.9" x2="92.7" y2="4.9"/>
	<path class="st2" d="M13.7,99.4c4.2,3.5,6.9,8.8,6.9,14.7c0,3.5-1,6.8-2.6,9.7"/>
	<path class="st2" d="M94.4,168.4c3.4-5.6,9.5-9.3,16.5-9.3c10.6,0,19.3,8.6,19.3,19.3"/>
	<path class="st2" d="M112.5,4.9c0,10.6-8.6,19.3-19.3,19.3c-4.7,0-9.1-1.7-12.4-4.5"/>
	<g>
		<path d="M28.9,114.8c-0.8,0-1.4-0.1-1.9-0.4c-0.5-0.3-0.9-0.6-1.1-1.1c-0.2-0.5-0.4-1-0.4-1.5c0-0.8,0.2-1.4,0.6-1.9
			c0.4-0.5,0.9-0.8,1.5-1.1c-0.6-0.3-1-0.7-1.3-1.2c-0.3-0.5-0.5-1-0.5-1.7c0-0.5,0.1-1,0.3-1.4s0.6-0.8,1-1.1s1.1-0.4,1.9-0.4
			c1,0,1.8,0.3,2.3,0.8c0.5,0.5,0.8,1.2,0.8,1.9c0,0.7-0.2,1.2-0.5,1.7c-0.3,0.4-0.8,0.8-1.4,1.1c0.8,0.4,1.3,0.9,1.7,1.4
			c0.4,0.5,0.5,1.1,0.5,1.9c0,1-0.3,1.7-0.9,2.3C30.9,114.5,30.1,114.8,28.9,114.8z M29,113.9c0.4,0,0.8-0.2,1.1-0.5
			c0.3-0.4,0.4-0.8,0.4-1.4c0-0.5-0.2-1-0.5-1.4c-0.3-0.4-0.8-0.8-1.5-1.2c-0.3,0.3-0.6,0.6-0.7,1c-0.2,0.4-0.3,0.9-0.3,1.4
			c0,0.7,0.1,1.2,0.4,1.6C28.1,113.7,28.5,113.9,29,113.9z M29.4,108c0.3-0.2,0.5-0.5,0.7-0.9c0.2-0.3,0.2-0.8,0.2-1.3
			c0-0.5-0.1-0.9-0.3-1.3S29.4,104,29,104c-0.4,0-0.7,0.2-0.9,0.5c-0.2,0.3-0.3,0.7-0.3,1.3c0,0.6,0.1,1,0.4,1.4
			C28.5,107.4,28.9,107.7,29.4,108z"/>
		<path d="M36.8,114.8c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2c-0.2-0.9-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7s0.9,1.1,1.1,2c0.2,0.9,0.3,1.9,0.3,3.1
			c0,1.2-0.1,2.2-0.3,3.1c-0.2,0.9-0.6,1.6-1.1,2C38.3,114.6,37.6,114.8,36.8,114.8z M36.8,113.8c0.5,0,0.8-0.4,1-1.3
			c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6s-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3s-0.2,2-0.2,3.6c0,1.6,0.1,2.8,0.2,3.6
			C36,113.4,36.3,113.8,36.8,113.8z"/>
		<path d="M43.5,107.8c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8s0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8s-0.2,1.3-0.6,1.8C44.6,107.6,44.1,107.8,43.5,107.8z M43.5,107
			c0.4,0,0.7-0.2,0.9-0.5c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4
			s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C42.8,106.8,43.1,107,43.5,107z"/>
	</g>
	<g>
		<path d="M95.7,38.7v-0.8h1c0.3,0,0.5-0.1,0.6-0.2c0.2-0.1,0.2-0.4,0.2-0.9v-8c-0.3,0.5-0.7,0.8-1,1.1s-0.6,0.4-0.9,0.4
			c-0.2,0-0.4-0.1-0.6-0.3c-0.2-0.2-0.2-0.5-0.2-0.8c0.3-0.1,0.6-0.2,0.9-0.4c0.4-0.2,0.8-0.4,1.2-0.8l1-0.8h1.6v9.6
			c0,0.4,0.1,0.6,0.2,0.8c0.1,0.2,0.4,0.3,0.7,0.3h0.9v0.8H95.7z"/>
		<path d="M105.7,38.8c-1,0-1.7-0.2-2.2-0.5c-0.5-0.3-0.8-0.8-0.8-1.4c0-0.4,0.1-0.7,0.4-0.9c0.2-0.2,0.5-0.3,0.8-0.3
			c0,0.6,0.1,1.1,0.4,1.5c0.3,0.4,0.7,0.6,1.3,0.6c0.3,0,0.6-0.1,0.8-0.2c0.3-0.1,0.5-0.4,0.6-0.7c0.2-0.3,0.2-0.8,0.2-1.4
			c0-0.7-0.2-1.2-0.5-1.6c-0.4-0.4-0.9-0.6-1.6-0.6h-0.9v-0.9h0.9c0.6,0,1.1-0.2,1.3-0.6c0.3-0.4,0.4-1,0.4-1.7c0-0.6-0.1-1-0.3-1.4
			s-0.5-0.5-0.8-0.5c-0.3,0-0.6,0.1-0.8,0.4c-0.2,0.2-0.3,0.5-0.4,0.9c-0.1,0.4-0.1,0.8-0.1,1.2c-0.5,0-0.9-0.1-1.3-0.3
			c-0.3-0.2-0.5-0.5-0.5-1c0-0.4,0.1-0.7,0.3-1c0.2-0.3,0.6-0.6,1-0.8c0.5-0.2,1-0.3,1.7-0.3c1,0,1.8,0.2,2.3,0.7
			c0.6,0.5,0.9,1.1,0.9,1.9c0,0.7-0.2,1.3-0.6,1.8c-0.4,0.5-0.9,0.8-1.5,1.1c0.4,0.1,0.8,0.2,1.1,0.4s0.7,0.5,0.9,0.9
			c0.2,0.4,0.4,0.9,0.4,1.5c0,0.9-0.2,1.5-0.5,2s-0.8,0.8-1.4,1.1C107,38.7,106.4,38.8,105.7,38.8z"/>
		<path d="M113.9,38.8c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2s-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7s0.9,1.1,1.1,2s0.3,1.9,0.3,3.1c0,1.2-0.1,2.2-0.3,3.1
			s-0.6,1.6-1.1,2C115.4,38.6,114.7,38.8,113.9,38.8z M113.9,37.8c0.5,0,0.8-0.4,1-1.3c0.2-0.9,0.2-2.1,0.2-3.6
			c0-1.6-0.1-2.8-0.2-3.6c-0.1-0.8-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3c-0.2,0.8-0.2,2-0.2,3.6c0,1.6,0.1,2.8,0.2,3.6
			S113.4,37.8,113.9,37.8z"/>
		<path d="M120.6,31.8c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8c0-0.7,0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8c0,0.7-0.2,1.3-0.6,1.8C121.7,31.6,121.2,31.8,120.6,31.8z M120.6,31
			c0.4,0,0.7-0.2,0.9-0.5c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4
			s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C119.9,30.8,120.2,31,120.6,31z"/>
	</g>
	<g>
		<path d="M118.5,155.9l0.2-0.8h0.2c0.2,0,0.3,0,0.5-0.1s0.3-0.1,0.4-0.3s0.4-0.4,0.6-0.7l1.8-2.3l-0.9-2.6
			c-0.1-0.4-0.3-0.7-0.4-0.8c-0.1-0.1-0.3-0.2-0.6-0.2h-0.2l0.2-0.8h2.7l0.9,3.1l2-3.1h1.7l-0.2,0.8h-0.3c-0.2,0-0.3,0-0.5,0.1
			s-0.3,0.2-0.4,0.3c-0.2,0.2-0.3,0.4-0.6,0.7l-1.5,2l0.9,2.7c0.1,0.5,0.3,0.8,0.4,0.9c0.1,0.1,0.4,0.2,0.6,0.2h0.2l-0.2,0.8h-2.8
			l-0.9-3.3l-2.3,3.3H118.5z"/>
		<path d="M131.5,149.1c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8s0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8s-0.2,1.3-0.6,1.8S132.1,149.1,131.5,149.1z M131.5,148.2c0.4,0,0.7-0.2,0.9-0.5
			c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1s-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4c-0.2,0.3-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2
			C130.8,148.1,131.1,148.2,131.5,148.2z"/>
	</g>
	<g>
		<path d="M260.5,185.3c-0.6,0-1-0.1-1.3-0.4c-0.3-0.3-0.4-0.7-0.4-1.1c0-0.3,0-0.6,0.1-1c0.1-0.4,0.2-0.9,0.3-1.4l1.3-6.1
			c0.1-0.3,0.1-0.6,0.1-0.8c0-0.2-0.1-0.4-0.2-0.4c-0.1-0.1-0.3-0.1-0.5-0.1h-0.3l0.2-0.8h3.4l-1.9,8.8c-0.1,0.3-0.1,0.6-0.2,0.9
			s-0.1,0.5-0.1,0.8c0,0.5,0.2,0.7,0.5,0.7c0.1,0,0.3,0,0.4-0.1s0.3-0.2,0.4-0.3l0.3,0.5c-0.2,0.3-0.5,0.5-0.9,0.7
			C261.5,185.2,261,185.3,260.5,185.3z"/>
		<path d="M263.5,186.7v-1.1l1.5-1.5c0.5-0.5,0.8-0.9,1-1.3c0.2-0.4,0.3-0.8,0.3-1.3c0-0.3-0.1-0.6-0.2-0.8s-0.3-0.3-0.6-0.3
			c-0.3,0-0.5,0.1-0.6,0.4s-0.2,0.6-0.2,1.1c-0.8,0-1.2-0.3-1.2-0.8c0-0.4,0.2-0.7,0.5-1c0.4-0.3,0.9-0.4,1.6-0.4
			c0.8,0,1.3,0.2,1.7,0.5c0.3,0.3,0.5,0.8,0.5,1.3c0,0.4-0.1,0.7-0.2,1c-0.1,0.3-0.4,0.6-0.7,0.9s-0.8,0.7-1.4,1.2l-1,0.9h2.4
			c0.2,0,0.3-0.1,0.4-0.2c0.1-0.1,0.1-0.2,0.2-0.4l0.1-0.4h0.5l-0.1,2.2H263.5z"/>
	</g>
	<g>
		<path d="M260.5,12.3c-0.6,0-1-0.1-1.3-0.4c-0.3-0.3-0.4-0.7-0.4-1.1c0-0.3,0-0.6,0.1-1c0.1-0.4,0.2-0.9,0.3-1.4l1.3-6.1
			c0.1-0.3,0.1-0.6,0.1-0.8c0-0.2-0.1-0.4-0.2-0.4c-0.1-0.1-0.3-0.1-0.5-0.1h-0.3l0.2-0.8h3.4l-1.9,8.8c-0.1,0.3-0.1,0.6-0.2,0.9
			c0,0.3-0.1,0.5-0.1,0.8c0,0.5,0.2,0.7,0.5,0.7c0.1,0,0.3,0,0.4-0.1c0.1-0.1,0.3-0.2,0.4-0.3l0.3,0.5c-0.2,0.3-0.5,0.5-0.9,0.7
			C261.5,12.2,261,12.3,260.5,12.3z"/>
		<path d="M263.8,13.7V13h0.7c0.2,0,0.3,0,0.5-0.1c0.1-0.1,0.2-0.3,0.2-0.5V7.9c-0.2,0.3-0.4,0.5-0.6,0.7c-0.2,0.2-0.3,0.3-0.5,0.3
			c-0.2,0-0.3-0.1-0.4-0.2c-0.1-0.1-0.2-0.3-0.2-0.6c0.4-0.1,0.8-0.3,1.3-0.8l0.7-0.5h1.2v5.5c0,0.3,0.1,0.5,0.2,0.5
			c0.1,0.1,0.3,0.1,0.5,0.1h0.6v0.7H263.8z"/>
	</g>
</g>
</svg>
) If in the figure above, $$l_1$$ and $$l_2$$ are parallel, what is $$x$$?
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Correct. Lines given in a parallel lines diagram can be extended to make it easier to solve the question. Extend $$l_2$$ backwards, and extend the top diagonal line so that it intersects both parallel lines. The resulting triangle is shown in the figure. ![](data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8"?>
<!-- Generator: Adobe Illustrator 22.1.0, SVG Export Plug-In . SVG Version: 6.00 Build 0)  -->
<svg version="1.1" id="Слой_1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px"
	 width="338.9px" height="193.8px" viewBox="0 0 338.9 193.8" style="enable-background:new 0 0 338.9 193.8;" xml:space="preserve"
	>
<style type="text/css">
	.st0{fill:none;stroke:#000000;stroke-width:2;stroke-miterlimit:10;}
	.st1{fill:none;stroke:#000000;stroke-miterlimit:10;}
</style>
<g>
	<line class="st0" x1="0" y1="18.8" x2="338.9" y2="18.8"/>
	<line class="st0" x1="0" y1="192.8" x2="338.9" y2="192.8"/>
	<line class="st0" x1="35.5" y1="192.8" x2="181.8" y2="18.8"/>
	<line class="st0" x1="111.4" y1="102.6" x2="265.5" y2="192.8"/>
	<path class="st1" d="M166.6,36.9c-5.1-4.3-8.4-10.8-8.4-18"/>
	<path class="st1" d="M202.6,18.8c0,11.5-9.3,20.8-20.8,20.8c-5.1,0-9.8-1.8-13.4-4.9"/>
	<path class="st1" d="M246.8,181.8c7.9-8.4,21-8.8,29.4-0.9c3.7,3.5,5.9,8,6.4,12.7"/>
	<path class="st1" d="M126.5,84.7c5.1,4.3,8.3,10.7,8.3,17.9c0,4.3-1.2,8.3-3.2,11.8"/>
	<g>
		<path d="M138,39.1c-0.7,0-1.3-0.1-1.7-0.3s-0.7-0.4-0.9-0.7c-0.2-0.3-0.3-0.6-0.3-0.9c0-0.3,0.1-0.6,0.3-0.8
			c0.2-0.2,0.5-0.3,0.8-0.3c0,0.3,0,0.6,0.1,0.9c0.1,0.3,0.2,0.5,0.5,0.7c0.2,0.2,0.5,0.3,0.9,0.3c0.3,0,0.6-0.1,0.8-0.2
			c0.3-0.2,0.5-0.4,0.6-0.8c0.2-0.4,0.2-0.9,0.2-1.6c0-0.8-0.2-1.4-0.5-1.8c-0.3-0.4-0.8-0.6-1.4-0.6c-0.3,0-0.6,0-0.9,0.1
			s-0.5,0.1-0.7,0.2l-0.6-0.3l0.5-5.6h5.2l0.1,2.8h-0.8l-0.1-0.5c-0.1-0.2-0.1-0.4-0.2-0.5s-0.2-0.2-0.4-0.2h-2.9l-0.3,3.1
			c0.2-0.1,0.4-0.1,0.7-0.2c0.3,0,0.6-0.1,0.8-0.1c1.1,0,2,0.3,2.6,0.9c0.7,0.6,1,1.4,1,2.6c0,0.7-0.1,1.2-0.3,1.7
			c-0.2,0.5-0.5,0.8-0.9,1.1c-0.4,0.3-0.8,0.5-1.2,0.6C138.8,39,138.4,39.1,138,39.1z"/>
		<path d="M146.2,39.1c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2s-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7s0.9,1.1,1.1,2s0.3,1.9,0.3,3.1c0,1.2-0.1,2.2-0.3,3.1
			s-0.6,1.6-1.1,2C147.7,38.8,147,39.1,146.2,39.1z M146.2,38.1c0.5,0,0.8-0.4,1-1.3c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6
			c-0.1-0.8-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3c-0.2,0.8-0.2,2-0.2,3.6c0,1.6,0.1,2.8,0.2,3.6S145.7,38.1,146.2,38.1z"/>
		<path d="M152.9,32.1c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8c0-0.7,0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8c0,0.7-0.2,1.3-0.6,1.8C154.1,31.9,153.5,32.1,152.9,32.1z M152.9,31.2
			c0.4,0,0.7-0.2,0.9-0.5c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4
			s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C152.2,31.1,152.5,31.2,152.9,31.2z"/>
	</g>
	<g>
		<path d="M205.6,38.9v-0.8h1c0.3,0,0.5-0.1,0.6-0.2s0.2-0.4,0.2-0.9v-8c-0.3,0.5-0.7,0.8-1,1.1s-0.6,0.4-0.9,0.4
			c-0.2,0-0.4-0.1-0.6-0.3c-0.2-0.2-0.2-0.5-0.2-0.8c0.3-0.1,0.6-0.2,0.9-0.4c0.4-0.2,0.8-0.4,1.2-0.8l1-0.8h1.6V37
			c0,0.4,0.1,0.6,0.2,0.8c0.1,0.2,0.4,0.3,0.7,0.3h0.9v0.8H205.6z"/>
		<path d="M215.6,39.1c-1,0-1.7-0.2-2.2-0.5c-0.5-0.3-0.8-0.8-0.8-1.4c0-0.4,0.1-0.7,0.4-0.9c0.2-0.2,0.5-0.3,0.8-0.3
			c0,0.6,0.1,1.1,0.4,1.5c0.3,0.4,0.7,0.6,1.3,0.6c0.3,0,0.6-0.1,0.8-0.2s0.5-0.4,0.6-0.7c0.2-0.3,0.2-0.8,0.2-1.4
			c0-0.7-0.2-1.2-0.5-1.6c-0.4-0.4-0.9-0.6-1.6-0.6h-0.9v-0.9h0.9c0.6,0,1.1-0.2,1.3-0.6c0.3-0.4,0.4-1,0.4-1.7c0-0.6-0.1-1-0.3-1.4
			c-0.2-0.3-0.5-0.5-0.8-0.5c-0.3,0-0.6,0.1-0.8,0.4c-0.2,0.2-0.3,0.5-0.4,0.9c-0.1,0.4-0.1,0.8-0.1,1.2c-0.5,0-0.9-0.1-1.3-0.3
			c-0.3-0.2-0.5-0.5-0.5-1c0-0.4,0.1-0.7,0.3-1c0.2-0.3,0.6-0.6,1-0.8c0.5-0.2,1-0.3,1.7-0.3c1,0,1.8,0.2,2.3,0.7
			c0.6,0.5,0.9,1.1,0.9,1.9c0,0.7-0.2,1.3-0.6,1.8c-0.4,0.5-0.9,0.8-1.5,1.1c0.4,0.1,0.8,0.2,1.1,0.4s0.7,0.5,0.9,0.9
			c0.2,0.4,0.4,0.9,0.4,1.5c0,0.9-0.2,1.5-0.5,2c-0.4,0.5-0.8,0.8-1.4,1.1C216.8,39,216.2,39.1,215.6,39.1z"/>
		<path d="M223.8,39.1c-0.9,0-1.5-0.2-2.1-0.7s-0.9-1.2-1.1-2c-0.2-0.9-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7c0.5,0.5,0.9,1.1,1.1,2c0.2,0.9,0.3,1.9,0.3,3.1
			c0,1.2-0.1,2.2-0.3,3.1s-0.6,1.6-1.1,2C225.2,38.8,224.6,39.1,223.8,39.1z M223.8,38.1c0.5,0,0.8-0.4,1-1.3
			c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6c-0.2-0.8-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3c-0.2,0.8-0.2,2-0.2,3.6
			c0,1.6,0.1,2.8,0.2,3.6C222.9,37.7,223.3,38.1,223.8,38.1z"/>
		<path d="M230.4,32.1c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8c0-0.7,0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8c0,0.7-0.2,1.3-0.6,1.8C231.6,31.9,231.1,32.1,230.4,32.1z M230.5,31.2
			c0.4,0,0.7-0.2,0.9-0.5c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4
			s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C229.7,31.1,230.1,31.2,230.5,31.2z"/>
	</g>
	<g>
		<path d="M145.6,103.1c-0.8,0-1.4-0.1-1.9-0.4c-0.5-0.3-0.9-0.6-1.1-1.1c-0.2-0.5-0.4-1-0.4-1.5c0-0.8,0.2-1.4,0.6-1.9
			s0.9-0.8,1.5-1.1c-0.6-0.3-1-0.7-1.3-1.2c-0.3-0.5-0.5-1-0.5-1.7c0-0.5,0.1-1,0.3-1.4s0.6-0.8,1-1.1s1.1-0.4,1.9-0.4
			c1,0,1.8,0.3,2.3,0.8c0.5,0.5,0.8,1.2,0.8,1.9c0,0.7-0.2,1.2-0.5,1.7c-0.3,0.4-0.8,0.8-1.4,1.1c0.8,0.4,1.3,0.9,1.7,1.4
			c0.4,0.5,0.5,1.1,0.5,1.9c0,1-0.3,1.7-0.9,2.3C147.6,102.8,146.7,103.1,145.6,103.1z M145.7,102.2c0.4,0,0.8-0.2,1.1-0.5
			s0.4-0.8,0.4-1.4c0-0.5-0.2-1-0.5-1.4c-0.3-0.4-0.8-0.8-1.5-1.2c-0.3,0.3-0.6,0.6-0.7,1c-0.2,0.4-0.3,0.9-0.3,1.4
			c0,0.7,0.1,1.2,0.4,1.6C144.8,102,145.2,102.2,145.7,102.2z M146,96.3c0.3-0.2,0.5-0.5,0.7-0.9c0.2-0.3,0.2-0.8,0.2-1.3
			c0-0.5-0.1-0.9-0.3-1.3s-0.5-0.5-0.9-0.5c-0.4,0-0.7,0.2-0.9,0.5c-0.2,0.3-0.3,0.7-0.3,1.3c0,0.6,0.1,1,0.4,1.4S145.6,96,146,96.3
			z"/>
		<path d="M153.5,103.1c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2s-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7s0.9,1.1,1.1,2s0.3,1.9,0.3,3.1c0,1.2-0.1,2.2-0.3,3.1
			s-0.6,1.6-1.1,2C155,102.8,154.3,103.1,153.5,103.1z M153.5,102.1c0.5,0,0.8-0.4,1-1.3c0.2-0.9,0.2-2.1,0.2-3.6
			c0-1.6-0.1-2.8-0.2-3.6c-0.1-0.8-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3c-0.2,0.8-0.2,2-0.2,3.6c0,1.6,0.1,2.8,0.2,3.6
			S153,102.1,153.5,102.1z"/>
		<path d="M160.1,96.1c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8c0-0.7,0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8c0,0.7-0.2,1.3-0.6,1.8C161.3,95.9,160.8,96.1,160.1,96.1z M160.2,95.2
			c0.4,0,0.7-0.2,0.9-0.5c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4
			s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C159.5,95.1,159.8,95.2,160.2,95.2z"/>
	</g>
	<g>
		<path d="M255.8,171.7l0.2-0.8h0.2c0.2,0,0.3,0,0.5-0.1c0.1,0,0.3-0.1,0.4-0.3c0.2-0.1,0.4-0.4,0.6-0.7l1.8-2.3l-0.9-2.6
			c-0.1-0.4-0.3-0.7-0.4-0.8c-0.1-0.1-0.3-0.2-0.6-0.2h-0.2l0.2-0.8h2.7l0.9,3.1l2-3.1h1.7l-0.2,0.8h-0.3c-0.2,0-0.3,0-0.5,0.1
			c-0.1,0.1-0.3,0.2-0.4,0.3c-0.2,0.2-0.3,0.4-0.6,0.7l-1.5,2l0.9,2.7c0.1,0.5,0.3,0.8,0.4,0.9c0.1,0.1,0.4,0.2,0.6,0.2h0.2
			l-0.2,0.8h-2.8l-0.9-3.3l-2.3,3.3H255.8z"/>
		<path d="M265.2,165v-1.1h6v1.1H265.2z M265.2,168v-1.1h6v1.1H265.2z"/>
		<path d="M273.2,171.7v-0.8h1c0.3,0,0.5-0.1,0.6-0.2s0.2-0.4,0.2-0.9v-8c-0.3,0.5-0.7,0.8-1,1.1c-0.3,0.3-0.6,0.4-0.9,0.4
			c-0.2,0-0.4-0.1-0.6-0.3s-0.2-0.5-0.2-0.8c0.3-0.1,0.6-0.2,0.9-0.4c0.4-0.2,0.8-0.4,1.2-0.8l1-0.8h1.6v9.6c0,0.4,0.1,0.6,0.2,0.8
			s0.4,0.3,0.7,0.3h0.9v0.8H273.2z"/>
		<path d="M283.2,171.8c-0.7,0-1.3-0.1-1.7-0.3c-0.4-0.2-0.7-0.4-0.9-0.7s-0.3-0.6-0.3-0.9c0-0.3,0.1-0.6,0.3-0.8
			c0.2-0.2,0.5-0.3,0.8-0.3c0,0.3,0,0.6,0.1,0.9c0.1,0.3,0.2,0.5,0.5,0.7s0.5,0.3,0.9,0.3c0.3,0,0.6-0.1,0.8-0.2
			c0.3-0.2,0.5-0.4,0.6-0.8c0.2-0.4,0.2-0.9,0.2-1.6c0-0.8-0.2-1.4-0.5-1.8s-0.8-0.6-1.4-0.6c-0.3,0-0.6,0-0.9,0.1
			c-0.3,0.1-0.5,0.1-0.7,0.2l-0.6-0.3l0.5-5.6h5.2l0.1,2.8h-0.8l-0.1-0.5c-0.1-0.2-0.1-0.4-0.2-0.5c-0.1-0.1-0.2-0.2-0.4-0.2h-2.9
			l-0.3,3.1c0.2-0.1,0.4-0.1,0.7-0.2c0.3,0,0.6-0.1,0.8-0.1c1.1,0,2,0.3,2.6,0.9c0.7,0.6,1,1.4,1,2.6c0,0.7-0.1,1.2-0.3,1.7
			c-0.2,0.5-0.5,0.8-0.9,1.1c-0.4,0.3-0.8,0.5-1.2,0.6S283.6,171.8,283.2,171.8z"/>
		<path d="M291.4,171.8c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2c-0.2-0.9-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7c0.5,0.5,0.9,1.1,1.1,2c0.2,0.9,0.3,1.9,0.3,3.1
			c0,1.2-0.1,2.2-0.3,3.1c-0.2,0.9-0.6,1.6-1.1,2C292.9,171.6,292.3,171.8,291.4,171.8z M291.4,170.8c0.5,0,0.8-0.4,1-1.3
			c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6c-0.2-0.8-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3c-0.2,0.8-0.2,2-0.2,3.6
			c0,1.6,0.1,2.8,0.2,3.6C290.6,170.4,290.9,170.8,291.4,170.8z"/>
		<path d="M298.1,164.8c-0.7,0-1.2-0.2-1.6-0.7s-0.6-1-0.6-1.8s0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7c0.7,0,1.2,0.2,1.6,0.7
			c0.4,0.5,0.6,1,0.6,1.8s-0.2,1.3-0.6,1.8C299.3,164.6,298.8,164.8,298.1,164.8z M298.1,164c0.4,0,0.7-0.2,0.9-0.5
			c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2
			C297.4,163.8,297.7,164,298.1,164z"/>
	</g>
	<g>
		<path d="M327.8,12.3c-0.6,0-1-0.1-1.3-0.4c-0.3-0.3-0.4-0.7-0.4-1.1c0-0.3,0-0.6,0.1-1c0.1-0.4,0.2-0.9,0.3-1.4l1.3-6.1
			c0.1-0.3,0.1-0.6,0.1-0.8c0-0.2-0.1-0.4-0.2-0.4c-0.1-0.1-0.3-0.1-0.5-0.1h-0.3L327,0h3.4l-1.9,8.8c-0.1,0.3-0.1,0.6-0.2,0.9
			s-0.1,0.5-0.1,0.8c0,0.5,0.2,0.7,0.5,0.7c0.1,0,0.3,0,0.4-0.1s0.3-0.2,0.4-0.3l0.3,0.5c-0.2,0.3-0.5,0.5-0.9,0.7
			C328.7,12.2,328.3,12.3,327.8,12.3z"/>
		<path d="M331.1,13.7V13h0.7c0.2,0,0.3,0,0.5-0.1c0.1-0.1,0.2-0.3,0.2-0.5V7.9c-0.2,0.3-0.4,0.5-0.6,0.7c-0.2,0.2-0.3,0.3-0.5,0.3
			c-0.2,0-0.3-0.1-0.4-0.2c-0.1-0.1-0.2-0.3-0.2-0.6c0.4-0.1,0.8-0.3,1.3-0.8l0.7-0.5h1.2v5.5c0,0.3,0.1,0.5,0.2,0.5
			c0.1,0.1,0.3,0.1,0.5,0.1h0.6v0.7H331.1z"/>
	</g>
	<g>
		<path d="M329,186.3c-0.6,0-1-0.1-1.3-0.4c-0.3-0.3-0.4-0.7-0.4-1.1c0-0.3,0-0.6,0.1-1c0.1-0.4,0.2-0.9,0.3-1.4l1.3-6.1
			c0.1-0.3,0.1-0.6,0.1-0.8c0-0.2-0.1-0.4-0.2-0.4c-0.1-0.1-0.3-0.1-0.5-0.1h-0.3l0.2-0.8h3.4l-1.9,8.8c-0.1,0.3-0.1,0.6-0.2,0.9
			s-0.1,0.5-0.1,0.8c0,0.5,0.2,0.7,0.5,0.7c0.1,0,0.3,0,0.4-0.1s0.3-0.2,0.4-0.3l0.3,0.5c-0.2,0.3-0.5,0.5-0.9,0.7
			C330,186.2,329.5,186.3,329,186.3z"/>
		<path d="M332,187.7v-1.1l1.5-1.5c0.5-0.5,0.8-0.9,1-1.3c0.2-0.4,0.3-0.8,0.3-1.3c0-0.3-0.1-0.6-0.2-0.8s-0.3-0.3-0.6-0.3
			c-0.3,0-0.5,0.1-0.6,0.4s-0.2,0.6-0.2,1.1c-0.8,0-1.2-0.3-1.2-0.8c0-0.4,0.2-0.7,0.5-1c0.4-0.3,0.9-0.4,1.6-0.4
			c0.8,0,1.3,0.2,1.7,0.5c0.3,0.3,0.5,0.8,0.5,1.3c0,0.4-0.1,0.7-0.2,1c-0.1,0.3-0.4,0.6-0.7,0.9s-0.8,0.7-1.4,1.2l-1,0.9h2.4
			c0.2,0,0.3-0.1,0.4-0.2c0.1-0.1,0.1-0.2,0.2-0.4l0.1-0.4h0.5l-0.1,2.2H332z"/>
	</g>
	<g>
		<path d="M103.8,130.2v-0.8h1c0.3,0,0.5-0.1,0.6-0.2c0.2-0.1,0.2-0.4,0.2-0.9v-8c-0.3,0.5-0.7,0.8-1,1.1c-0.3,0.3-0.6,0.4-0.9,0.4
			c-0.2,0-0.4-0.1-0.6-0.3c-0.2-0.2-0.2-0.5-0.2-0.8c0.3-0.1,0.6-0.2,0.9-0.4c0.4-0.2,0.8-0.4,1.2-0.8l1-0.8h1.6v9.6
			c0,0.4,0.1,0.6,0.2,0.8s0.4,0.3,0.7,0.3h0.9v0.8H103.8z"/>
		<path d="M114.2,130.3c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2c-0.2-0.9-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7s0.9,1.1,1.1,2c0.2,0.9,0.3,1.9,0.3,3.1
			c0,1.2-0.1,2.2-0.3,3.1c-0.2,0.9-0.6,1.6-1.1,2C115.7,130.1,115,130.3,114.2,130.3z M114.2,129.3c0.5,0,0.8-0.4,1-1.3
			c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6s-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3s-0.2,2-0.2,3.6c0,1.6,0.1,2.8,0.2,3.6
			C113.4,128.9,113.7,129.3,114.2,129.3z"/>
		<path d="M122,130.3c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2c-0.2-0.9-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7s0.9,1.1,1.1,2c0.2,0.9,0.3,1.9,0.3,3.1
			c0,1.2-0.1,2.2-0.3,3.1c-0.2,0.9-0.6,1.6-1.1,2C123.5,130.1,122.8,130.3,122,130.3z M122,129.3c0.5,0,0.8-0.4,1-1.3
			c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6s-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3s-0.2,2-0.2,3.6c0,1.6,0.1,2.8,0.2,3.6
			C121.2,128.9,121.5,129.3,122,129.3z"/>
		<path d="M128.7,123.3c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8s0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8s-0.2,1.3-0.6,1.8C129.9,123.1,129.3,123.3,128.7,123.3z M128.7,122.5
			c0.4,0,0.7-0.2,0.9-0.5c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4
			c-0.2,0.3-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C128,122.3,128.3,122.5,128.7,122.5z"/>
	</g>
	<g>
		<path d="M58,189.1c-0.7,0-1.3-0.1-1.7-0.3s-0.7-0.4-0.9-0.7c-0.2-0.3-0.3-0.6-0.3-0.9c0-0.3,0.1-0.6,0.3-0.8s0.5-0.3,0.8-0.3
			c0,0.3,0,0.6,0.1,0.9c0.1,0.3,0.2,0.5,0.5,0.7s0.5,0.3,0.9,0.3c0.3,0,0.6-0.1,0.8-0.2c0.3-0.2,0.5-0.4,0.6-0.8s0.2-0.9,0.2-1.6
			c0-0.8-0.2-1.4-0.5-1.8c-0.3-0.4-0.8-0.6-1.4-0.6c-0.3,0-0.6,0-0.9,0.1s-0.5,0.1-0.7,0.2l-0.6-0.3l0.5-5.6h5.2l0.1,2.8h-0.8
			l-0.1-0.5c-0.1-0.2-0.1-0.4-0.2-0.5s-0.2-0.2-0.4-0.2h-2.9l-0.3,3.1c0.2-0.1,0.4-0.1,0.7-0.2c0.3,0,0.6-0.1,0.8-0.1
			c1.1,0,2,0.3,2.6,0.9c0.7,0.6,1,1.4,1,2.6c0,0.7-0.1,1.2-0.3,1.7c-0.2,0.5-0.5,0.8-0.9,1.1c-0.4,0.3-0.8,0.5-1.2,0.6
			S58.4,189.1,58,189.1z"/>
		<path d="M66.2,189.1c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2c-0.2-0.9-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7s0.9,1.1,1.1,2c0.2,0.9,0.3,1.9,0.3,3.1
			c0,1.2-0.1,2.2-0.3,3.1c-0.2,0.9-0.6,1.6-1.1,2C67.7,188.8,67,189.1,66.2,189.1z M66.2,188.1c0.5,0,0.8-0.4,1-1.3
			c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6s-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3s-0.2,2-0.2,3.6c0,1.6,0.1,2.8,0.2,3.6
			C65.4,187.7,65.7,188.1,66.2,188.1z"/>
		<path d="M72.9,182.1c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8s0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8s-0.2,1.3-0.6,1.8C74.1,181.9,73.5,182.1,72.9,182.1z M72.9,181.2
			c0.4,0,0.7-0.2,0.9-0.5c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4
			s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C72.2,181.1,72.5,181.2,72.9,181.2z"/>
	</g>
	<g>
		<path d="M217.5,189.1c-1,0-1.7-0.2-2.2-0.5c-0.5-0.3-0.8-0.8-0.8-1.4c0-0.4,0.1-0.7,0.4-0.9c0.2-0.2,0.5-0.3,0.8-0.3
			c0,0.6,0.1,1.1,0.4,1.5c0.3,0.4,0.7,0.6,1.3,0.6c0.3,0,0.6-0.1,0.8-0.2c0.3-0.1,0.5-0.4,0.6-0.7s0.2-0.8,0.2-1.4
			c0-0.7-0.2-1.2-0.5-1.6s-0.9-0.6-1.6-0.6h-0.9v-0.9h0.9c0.6,0,1.1-0.2,1.3-0.6c0.3-0.4,0.4-1,0.4-1.7c0-0.6-0.1-1-0.3-1.4
			c-0.2-0.3-0.5-0.5-0.8-0.5c-0.3,0-0.6,0.1-0.8,0.4s-0.3,0.5-0.4,0.9c-0.1,0.4-0.1,0.8-0.1,1.2c-0.5,0-0.9-0.1-1.3-0.3
			c-0.3-0.2-0.5-0.5-0.5-1c0-0.4,0.1-0.7,0.3-1c0.2-0.3,0.6-0.6,1-0.8c0.5-0.2,1-0.3,1.7-0.3c1,0,1.8,0.2,2.3,0.7
			c0.6,0.5,0.9,1.1,0.9,1.9c0,0.7-0.2,1.3-0.6,1.8c-0.4,0.5-0.9,0.8-1.5,1.1c0.4,0.1,0.8,0.2,1.1,0.4s0.7,0.5,0.9,0.9
			c0.2,0.4,0.4,0.9,0.4,1.5c0,0.9-0.2,1.5-0.5,2c-0.4,0.5-0.8,0.8-1.4,1.1C218.8,189,218.2,189.1,217.5,189.1z"/>
		<path d="M225.7,189.1c-0.9,0-1.5-0.2-2.1-0.7c-0.5-0.5-0.9-1.2-1.1-2c-0.2-0.9-0.3-1.9-0.3-3.1c0-1.2,0.1-2.2,0.3-3.1
			c0.2-0.9,0.6-1.5,1.1-2c0.5-0.5,1.2-0.7,2.1-0.7c0.8,0,1.5,0.2,2,0.7c0.5,0.5,0.9,1.1,1.1,2c0.2,0.9,0.3,1.9,0.3,3.1
			c0,1.2-0.1,2.2-0.3,3.1c-0.2,0.9-0.6,1.6-1.1,2C227.2,188.8,226.5,189.1,225.7,189.1z M225.7,188.1c0.5,0,0.8-0.4,1-1.3
			c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6c-0.2-0.8-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3c-0.2,0.8-0.2,2-0.2,3.6
			c0,1.6,0.1,2.8,0.2,3.6C224.9,187.7,225.2,188.1,225.7,188.1z"/>
		<path d="M232.4,182.1c-0.7,0-1.2-0.2-1.6-0.7s-0.6-1-0.6-1.8s0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7c0.7,0,1.2,0.2,1.6,0.7
			c0.4,0.5,0.6,1,0.6,1.8s-0.2,1.3-0.6,1.8C233.6,181.9,233,182.1,232.4,182.1z M232.4,181.2c0.4,0,0.7-0.2,0.9-0.5
			c0.2-0.3,0.3-0.7,0.3-1.2s-0.1-0.8-0.3-1.1c-0.2-0.3-0.5-0.4-0.9-0.4c-0.4,0-0.7,0.1-0.9,0.4s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2
			C231.7,181.1,232,181.2,232.4,181.2z"/>
	</g>
</g>
</svg>
) The supplementary angle of 80° is 100°: >$$180^\circ - 80^\circ = 100^\circ$$. Given that $$l_1$$ and $$l_2$$ are parallel lines, the alternate interior angle on $$l_2$$ is also 50°. Since the sum of all angles in a triangle is 180°, the supplementary angle of $$x$$ is 30°: >$$180^\circ - 100^\circ - 50^\circ = 30^\circ$$. Hence, you get >$$x = 180^\circ - 30^\circ = 150^\circ$$.
105°
110°
120°
140°
150°