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by Brent@GMATPrepNow » Wed Jul 04, 2018 3:21 pm
BTGmoderatorDC wrote:Image

In the figure shown, what is the value of x ?


A. 60

B. 80

C. 85

D. 90

E. 95
Since angles on a line must add to 180°, we can see that there are three 30° angles in our diagram...
Image

Next, let's focus on the BLUE triangle.
Image
Since angles in a triangle must add to 180° (and since we already have two angles measuring 30° each), the third angle must be 120°

Next, we have two angles sharing the same GREEN line.
Image
Since angles on a line must add to 180°, we can see that the other angle must be 60°

Finally, we can focus on the RED triangle.
Image
Since angles in a triangle must add to 180° (and since we already have two angles measuring 30° and 60°), the third angle (x) must be 90°

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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