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.

# Triangles: Isosceles

In the figure below, what is the value of $$xº$$? ![](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="421.5px" height="261.1px" viewBox="0 0 421.5 261.1" style="enable-background:new 0 0 421.5 261.1;" xml:space="preserve"
	>
<style type="text/css">
	.st0{fill:none;stroke:#000000;stroke-width:2;stroke-miterlimit:10;}
	.st1{enable-background:new    ;}
	.st2{fill:#020203;}
	.st3{fill:none;stroke:#020203;stroke-miterlimit:10;}
	.st4{fill:#1E1E1C;}
	.st5{fill:none;stroke:#1E1E1C;stroke-miterlimit:10;}
	.st6{fill:none;stroke:#000000;stroke-miterlimit:10;}
</style>
<g>
	<polygon class="st0" points="16.2,16 406.8,243.7 175.5,243.7 	"/>
	<line class="st0" x1="95.9" y1="130" x2="406.8" y2="243.7"/>
	<line class="st0" x1="175.2" y1="159" x2="175.5" y2="243.7"/>
	<g class="st1">
		<path class="st2" d="M96.8,123.5l0.2-0.8h0.2c0.2,0,0.3,0,0.5-0.1s0.3-0.1,0.4-0.3s0.4-0.4,0.6-0.7l1.8-2.3l-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-2.3,3.3H96.8z"/>
		<path class="st2" d="M108.3,116.7c-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-0.2,1.3-0.6,1.8C109.5,116.5,109,116.7,108.3,116.7z M108.4,115.8
			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-0.3,0.7-0.3,1.1s0.1,0.9,0.3,1.2C107.7,115.7,108,115.8,108.4,115.8z"/>
	</g>
	<g>
		<rect x="175.3" y="223.2" class="st3" width="20.5" height="20.5"/>
	</g>
	<g>
		<path class="st4" d="M165.8,261.1l0.2-0.8h0.3c0.3,0,0.5-0.1,0.6-0.2c0.2-0.2,0.4-0.5,0.6-1l4.9-9.4h2l0.9,9.3
			c0,0.4,0.1,0.7,0.2,0.9c0.1,0.2,0.3,0.4,0.6,0.4h0.3l-0.2,0.8h-4.7l0.2-0.8h0.3c0.3,0,0.6-0.1,0.7-0.2c0.2-0.1,0.3-0.3,0.3-0.6
			c0-0.1,0-0.1,0-0.2s0-0.1,0-0.2l-0.1-1.7h-3.3l-0.7,1.5c-0.1,0.2-0.2,0.4-0.2,0.5s-0.1,0.3-0.1,0.4c0,0.4,0.3,0.6,0.8,0.6h0.3
			l-0.2,0.8H165.8z M171.5,253.5l-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-0.1,0.4-0.3,0.7-0.4,1
			C172,252.6,171.8,253,171.5,253.5z"/>
	</g>
	<g>
		<path class="st4" d="M411.5,261.1l0.2-0.8h0.2c0.3,0,0.6-0.1,0.8-0.2c0.2-0.1,0.4-0.4,0.5-0.8l1.6-7.6c0-0.2,0.1-0.3,0.1-0.4
			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-0.8,0.6-1.9,0.9-3.4,0.9H411.5z M415.3,260.2h0.9c0.8,0,1.4-0.3,1.7-0.8c0.3-0.5,0.5-1.2,0.5-2.2c0-1.1-0.4-1.6-1.3-1.6h-0.8
			L415.3,260.2z M416.4,254.7h0.7c0.7,0,1.1-0.2,1.4-0.7c0.3-0.5,0.4-1.1,0.4-1.9c0-1-0.4-1.5-1.2-1.5h-0.6L416.4,254.7z"/>
	</g>
	<g>
		<path class="st4" d="M4.1,11.8c-1.3,0-2.3-0.4-3.1-1.1S0,9,0,7.7c0-1,0.2-1.9,0.5-2.8s0.7-1.7,1.3-2.5c0.6-0.7,1.2-1.3,2-1.7
			C4.6,0.2,5.5,0,6.4,0c0.9,0,1.6,0.2,2,0.5c0.4,0.3,0.7,0.8,0.7,1.3c0,0.5-0.2,0.9-0.6,1.1C8.1,3.2,7.6,3.3,7,3.3
			c0-0.2,0-0.5,0-0.7S7,2,6.9,1.8C6.8,1.6,6.7,1.4,6.6,1.2C6.4,1.1,6.2,1,6,1C5.5,1,5.1,1.1,4.8,1.4S4,2.1,3.8,2.6
			C3.5,3,3.2,3.6,3,4.2C2.8,4.7,2.7,5.3,2.6,6C2.5,6.6,2.4,7.2,2.4,7.7c0,0.9,0.2,1.6,0.6,2.1c0.4,0.5,1,0.7,1.7,0.7
			c0.6,0,1.2-0.2,1.6-0.5c0.4-0.3,0.7-0.6,1-1c0,0,0.1,0.1,0.1,0.2c0.1,0.1,0.1,0.2,0.1,0.3c0,0.4-0.1,0.7-0.4,1
			c-0.3,0.3-0.6,0.6-1.1,0.8C5.4,11.7,4.8,11.8,4.1,11.8z"/>
	</g>
	<g>
		<path class="st4" d="M77.3,139.1l0.2-0.8h0.2c0.3,0,0.6-0.1,0.8-0.2c0.2-0.1,0.4-0.4,0.5-0.8l1.6-7.7c0-0.1,0.1-0.2,0.1-0.3
			s0-0.2,0-0.2c0-0.2-0.1-0.4-0.3-0.5c-0.2-0.1-0.4-0.1-0.7-0.1h-0.2l0.2-0.8h4.5c1.3,0,2.3,0.4,3,1.1c0.7,0.7,1.1,1.7,1.1,3.1
			c0,1-0.1,1.9-0.4,2.8c-0.3,0.9-0.7,1.7-1.2,2.3c-0.5,0.7-1.2,1.2-1.9,1.6c-0.8,0.4-1.6,0.6-2.6,0.6H77.3z M81,138.2h0.5
			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-0.4-0.5-1-0.7-1.7-0.7H83L81,138.2
			z"/>
	</g>
	<g>
		<path class="st4" d="M172.3,152.7l0.2-0.8h0.2c0.3,0,0.6-0.1,0.8-0.2c0.2-0.1,0.4-0.4,0.5-0.8l1.6-7.7c0.1-0.2,0.1-0.4,0.1-0.5
			c0-0.2-0.1-0.4-0.3-0.5c-0.2-0.1-0.4-0.1-0.7-0.1h-0.2l0.2-0.8h7.6l-0.6,2.9h-1c0,0,0-0.1,0-0.3c0-0.1,0-0.3,0-0.4
			c0-0.1,0-0.2,0-0.3c0-0.3-0.1-0.5-0.2-0.7s-0.4-0.3-0.7-0.3h-1.8l-0.8,4h3.1l-0.2,0.9H177l-1,4.6h2.1c0.4,0,0.8-0.1,1-0.4
			s0.4-0.6,0.6-0.9l0.2-0.7h1l-0.7,2.9H172.3z"/>
	</g>
	<line class="st5" x1="141.1" y1="141.2" x2="137" y2="150.4"/>
	<path class="st6" d="M346.8,243.7c0-7.2,1.3-14.2,3.6-20.6"/>
	<line class="st5" x1="180.3" y1="195.8" x2="170.3" y2="195.9"/>
	<g class="st1">
		<path class="st2" d="M322.6,237v-1.5l2-2.5c0.6-0.7,1-1.3,1.3-1.8c0.3-0.5,0.5-1,0.7-1.5s0.2-1,0.2-1.5c0-0.6-0.1-1.1-0.3-1.4
			c-0.2-0.3-0.5-0.5-0.8-0.5c-0.5,0-0.8,0.2-1,0.7c-0.2,0.5-0.3,1.1-0.3,2c-0.5,0-0.9-0.1-1.2-0.3c-0.4-0.2-0.5-0.6-0.5-1.1
			c0-0.4,0.1-0.7,0.3-1.1s0.6-0.6,1-0.8c0.5-0.2,1-0.3,1.7-0.3c1.1,0,1.9,0.2,2.4,0.7s0.8,1.2,0.8,2c0,0.6-0.1,1.1-0.3,1.6
			c-0.2,0.5-0.6,1.1-1,1.6s-1,1.2-1.7,1.9l-1.9,2h3.1c0.3,0,0.5-0.1,0.7-0.3c0.2-0.2,0.3-0.5,0.4-0.8l0.1-0.5h0.9l-0.1,3.2H322.6z"
			/>
		<path class="st2" d="M333.8,237.2c-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-0.2,0.9-0.6,1.6-1.1,2C335.3,236.9,334.6,237.2,333.8,237.2z M333.8,236.2c0.5,0,0.8-0.4,1-1.3
			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-0.5,0-0.9,0.4-1,1.3c-0.2,0.8-0.2,2-0.2,3.6
			c0,1.6,0.1,2.8,0.2,3.6C332.9,235.8,333.3,236.2,333.8,236.2z"/>
		<path class="st2" d="M340.5,230.2c-0.7,0-1.2-0.2-1.6-0.7s-0.6-1-0.6-1.8s0.2-1.3,0.6-1.8c0.4-0.5,0.9-0.7,1.6-0.7
			s1.2,0.2,1.6,0.7c0.4,0.5,0.6,1,0.6,1.8s-0.2,1.3-0.6,1.8C341.6,230,341.1,230.2,340.5,230.2z M340.5,229.3c0.4,0,0.7-0.2,0.9-0.5
			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
			C339.8,229.2,340.1,229.3,340.5,229.3z"/>
	</g>
</g>
</svg>
)
Incorrect. [[snippet]] This is the degree measure of angle $$EAD$$ and $$EDA$$.
Incorrect. [[snippet]]
Incorrect. [[snippet]] This is the degree measure of angle $$AEB$$.
Incorrect. [[snippet]] This is the degree measure of angle $$AED$$.
Correct. [[snippet]] Angle $$AEB = 180º - 90º - 20º = 70º$$ Based on this, angle $$AED = 180º - 70º = 110º$$. Since $$AED$$ is an isosceles triangle, >$$\displaystyle{\angle EDA = \angle EAD = \frac{180º - 110º}{2} = 35º}$$. Hence, $$xº = 180º - 35º = 145º$$.
$$20º$$
$$35º$$
$$70º$$
$$110º$$
$$145º$$