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If \(\angle{XYZ}\) in the figure above is a right angle, what is the value of x?

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by BTGmoderatorLU » Wed Aug 25, 2021 3:30 pm
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Source: GMAT Paper Tests
Untitled(2).png
If \(\angle{XYZ}\) in the figure above is a right angle, what is the value of x?

A. 155
B. 145
C. 135
D. 125
E. 110

The OA is B
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Re: If \(\angle{XYZ}\) in the figure above is a right angle, what is the value of x?

by Brent@GMATPrepNow » Sat Aug 28, 2021 6:36 am
BTGmoderatorLU wrote: ↑
Wed Aug 25, 2021 3:30 pm
 Source: GMAT Paper Tests

Untitled(2).png

If \(\angle{XYZ}\) in the figure above is a right angle, what is the value of x?

A. 155
B. 145
C. 135
D. 125
E. 110

The OA is B
Given: ∠XYZ = 90°
Add to diagram
Image


90° - 55° = 35°
So, the missing angle is 35°
Image

Finally, since angles on a line add to 180°, we can write: x° + 35° = 180°
Solve to get: x = 145°

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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