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: Perpendicular

In the figure below, what is the value of $$x$$? ![](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="345px" height="435.2px" viewBox="0 0 345 435.2" style="enable-background:new 0 0 345 435.2;" xml:space="preserve">
<style type="text/css">
	.st0{fill:none;stroke:#020203;stroke-width:2;stroke-miterlimit:10;}
	.st1{fill:none;stroke:#020203;stroke-miterlimit:10;}
</style>
<g>
	<polygon class="st0" points="13.3,20.4 13.3,405.2 334.2,405.2 	"/>
	<line class="st0" x1="13.3" y1="20.4" x2="233" y2="405.2"/>
	<g>
		<rect x="13.3" y="379.7" class="st1" width="25.5" height="25.5"/>
	</g>
	<path class="st1" d="M54.2,92c-11.7,6.7-25.2,10.5-39.6,10.5"/>
	<path class="st1" d="M288.9,405.2c0-14.4,6.7-27.3,17.2-35.6"/>
	<g>
		<path d="M29.3,125.4c-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-0.8,0.8-1.4,1.1C30.6,125.3,30,125.4,29.3,125.4z"/>
		<path d="M37.5,125.4c-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-0.6,1.6-1.1,2C39,125.1,38.3,125.4,37.5,125.4z M37.5,124.4c0.5,0,0.8-0.4,1-1.3c0.2-0.9,0.2-2.1,0.2-3.6c0-1.6-0.1-2.8-0.2-3.6
			c-0.1-0.8-0.5-1.3-1-1.3c-0.5,0-0.9,0.4-1,1.3c-0.2,0.8-0.2,2-0.2,3.6c0,1.6,0.1,2.8,0.2,3.6S37,124.4,37.5,124.4z"/>
		<path d="M44.2,118.4c-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
			c0.7,0,1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8c0,0.7-0.2,1.3-0.6,1.8C45.3,118.1,44.8,118.4,44.2,118.4z M44.2,117.5
			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
			s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C43.5,117.4,43.8,117.5,44.2,117.5z"/>
	</g>
	<g>
		<path d="M269,387.5c-0.7,0-1.3-0.1-1.7-0.3c-0.4-0.2-0.7-0.4-0.9-0.7c-0.2-0.3-0.3-0.6-0.3-0.9c0-0.3,0.1-0.6,0.3-0.8
			s0.5-0.3,0.8-0.3c0,0.3,0,0.6,0.1,0.9c0.1,0.3,0.2,0.5,0.5,0.7c0.2,0.2,0.5,0.3,0.9,0.3c0.3,0,0.6-0.1,0.8-0.2
			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
			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-0.1-0.2-0.1-0.4-0.2-0.5s-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-0.4,0.3-0.8,0.5-1.2,0.6C269.8,387.5,269.4,387.5,269,387.5z"/>
		<path d="M277.3,387.5c-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-0.2,0.9-0.6,1.6-1.1,2C278.7,387.3,278.1,387.5,277.3,387.5z M277.3,386.5c0.5,0,0.8-0.4,1-1.3
			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-0.5,0-0.9,0.4-1,1.3s-0.2,2-0.2,3.6
			c0,1.6,0.1,2.8,0.2,3.6C276.4,386.1,276.7,386.5,277.3,386.5z"/>
		<path d="M283.9,380.5c-0.7,0-1.2-0.2-1.6-0.7c-0.4-0.5-0.6-1-0.6-1.8s0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7s1.2,0.2,1.6,0.7
			c0.4,0.5,0.6,1,0.6,1.8s-0.2,1.3-0.6,1.8C285.1,380.3,284.6,380.5,283.9,380.5z M284,379.7c0.4,0,0.7-0.2,0.9-0.5
			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-0.4,0-0.7,0.1-0.9,0.4s-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2
			C283.2,379.5,283.6,379.7,284,379.7z"/>
	</g>
	<g>
		<path d="M107.2,171.2l0.2-0.8h0.2c0.2,0,0.3,0,0.5-0.1c0.1,0,0.3-0.1,0.4-0.3c0.2-0.1,0.4-0.4,0.6-0.7l1.8-2.3l-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
			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-2.3,3.3H107.2z"/>
		<path d="M120.7,162.3c0,1.3-1,2.1-2.1,2.1c-1.2,0-2.1-0.9-2.1-2.1c0-1.2,0.9-2.2,2.1-2.2C119.9,160.2,120.7,161.2,120.7,162.3z
			 M117.3,162.4c0,0.7,0.5,1.3,1.2,1.3c0.7,0,1.3-0.6,1.3-1.4c0-0.6-0.4-1.3-1.3-1.3C117.7,161,117.3,161.7,117.3,162.4z"/>
	</g>
	<g>
		<path d="M0,428.9l0.2-0.8h0.3c0.3,0,0.5-0.1,0.6-0.2c0.2-0.2,0.4-0.5,0.6-1l4.9-9.4h2l0.9,9.3c0,0.4,0.1,0.7,0.2,0.9
			c0.1,0.2,0.3,0.4,0.6,0.4h0.3l-0.2,0.8H5.8l0.2-0.8h0.3c0.3,0,0.6-0.1,0.7-0.2c0.2-0.1,0.3-0.3,0.3-0.6c0-0.1,0-0.1,0-0.2
			s0-0.1,0-0.2l-0.1-1.7H3.8l-0.7,1.5c-0.1,0.2-0.2,0.4-0.2,0.5s-0.1,0.3-0.1,0.4c0,0.4,0.3,0.6,0.8,0.6h0.3l-0.2,0.8H0z M5.7,421.3
			l-1.4,2.9h2.8l-0.2-2.7c0-0.5,0-0.9-0.1-1.3c0-0.4,0-0.8,0-1.1c-0.1,0.4-0.3,0.7-0.4,1C6.2,420.4,6,420.8,5.7,421.3z"/>
	</g>
	<g>
		<path d="M237.3,428.9l0.2-0.8h0.2c0.3,0,0.6-0.1,0.8-0.2c0.2-0.1,0.4-0.4,0.5-0.8l1.6-7.6c0-0.2,0.1-0.3,0.1-0.4
			c0-0.1,0-0.2,0-0.3c0-0.2-0.1-0.4-0.3-0.5c-0.2-0.1-0.4-0.1-0.7-0.1h-0.2l0.2-0.8h4.4c1,0,1.8,0.2,2.4,0.6c0.5,0.4,0.8,1,0.8,1.7
			c0,0.9-0.2,1.6-0.7,2.1s-1,0.8-1.7,1l0,0.1c0.5,0.1,0.9,0.3,1.2,0.7c0.3,0.4,0.5,0.9,0.5,1.5c0,1.3-0.4,2.2-1.2,2.8
			c-0.8,0.6-1.9,0.9-3.4,0.9H237.3z M241.1,428h0.9c0.8,0,1.4-0.3,1.7-0.8c0.3-0.5,0.5-1.2,0.5-2.2c0-1.1-0.4-1.6-1.3-1.6H242
			L241.1,428z M242.2,422.5h0.7c0.7,0,1.2-0.2,1.4-0.7c0.3-0.5,0.4-1.1,0.4-1.9c0-1-0.4-1.5-1.2-1.5h-0.6L242.2,422.5z"/>
	</g>
	<g>
		<path d="M333.9,428.9l0.2-0.8h0.2c0.3,0,0.6-0.1,0.8-0.2c0.2-0.1,0.4-0.4,0.5-0.8l1.6-7.7c0-0.1,0.1-0.2,0.1-0.3
			c0-0.1,0-0.2,0-0.2c0-0.2-0.1-0.4-0.3-0.5s-0.4-0.1-0.7-0.1h-0.2l0.2-0.8h4.5c1.3,0,2.3,0.4,3,1.1c0.7,0.7,1.1,1.7,1.1,3.1
			c0,1-0.1,1.9-0.4,2.8c-0.3,0.9-0.7,1.7-1.2,2.3c-0.5,0.7-1.2,1.2-1.9,1.6s-1.6,0.6-2.6,0.6H333.9z M337.7,428h0.5
			c0.9,0,1.7-0.3,2.3-0.8c0.6-0.6,1.1-1.3,1.5-2.3c0.3-1,0.5-2.1,0.5-3.3c0-1.1-0.2-1.8-0.6-2.3c-0.4-0.5-1-0.7-1.7-0.7h-0.5
			L337.7,428z"/>
	</g>
	<g>
		<path d="M5.8,13.9c-1.3,0-2.3-0.4-3.1-1.1c-0.7-0.7-1.1-1.7-1.1-3c0-1,0.2-1.9,0.5-2.8C2.4,6,2.9,5.2,3.4,4.5
			c0.6-0.7,1.2-1.3,2-1.7c0.8-0.4,1.7-0.6,2.6-0.6c0.9,0,1.6,0.2,2,0.5c0.4,0.3,0.7,0.8,0.7,1.3c0,0.5-0.2,0.9-0.6,1.1
			C9.8,5.2,9.3,5.4,8.7,5.4c0-0.2,0-0.5,0-0.7c0-0.3-0.1-0.5-0.1-0.8C8.5,3.6,8.4,3.4,8.2,3.3S7.9,3.1,7.6,3.1
			c-0.4,0-0.8,0.1-1.2,0.4C6,3.8,5.7,4.2,5.4,4.6s-0.5,1-0.7,1.6C4.5,6.8,4.3,7.4,4.2,8S4.1,9.2,4.1,9.8c0,0.9,0.2,1.6,0.6,2.1
			c0.4,0.5,1,0.7,1.7,0.7c0.6,0,1.2-0.2,1.6-0.5c0.4-0.3,0.7-0.6,1-1c0,0,0.1,0.1,0.1,0.2c0.1,0.1,0.1,0.2,0.1,0.3
			c0,0.4-0.1,0.7-0.4,1s-0.6,0.6-1.1,0.8C7.1,13.8,6.5,13.9,5.8,13.9z"/>
	</g>
</g>
</svg>
)
Correct. [[snippet]] Since the sum of all angles in a triangle is 180°, >$$90^\circ + 50^\circ + 30^\circ + x = 180^\circ$$. Therefore, >$$x = 180^\circ - 90^\circ - 50^\circ - 30^\circ = 10^\circ$$.
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
10
15
20
25
30