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In the figure above, if x/(x+y)= 3/8, then x =

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Re: In the figure above, if x/(x+y)= 3/8, then x =

by Brent@GMATPrepNow » Tue Sep 14, 2021 5:12 am
BTGmoderatorLU wrote: ↑
Mon Sep 13, 2021 11:25 am
 Source: Official Guide

Untitled(3).png

In the figure above, if x/(x+y)= 3/8, then x =

A. 60
B. 67.5
C. 72
D. 108
E. 112.5

The OA is B
[spoiler=]
Untitled.png
[/spoiler][/quote]

Given: x/(x + y) = 3/8

Since angles on a line add to 180 degrees, we know that x + y = 180
So we can take the given equation, x/(x + y) = 3/8, and substitute 180 for x + y to get: x/180 = 3/8
Cross multiply: 8x = 540
Solve: x = 540/8 = 67.5

Answer: B
Brent Hanneson - Creator of GMATPrepNow.com
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