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If ∠XYZ in the figure above is a right angle, what is the

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by Brent@GMATPrepNow » Mon Nov 25, 2019 11:00 am
M7MBA wrote:Image

If ∠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

[spoiler]OA=B[/spoiler]

Source: GMAT Paper Tests
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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by Scott@TargetTestPrep » Mon Dec 02, 2019 5:59 pm
M7MBA wrote:Image

If ∠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

[spoiler]OA=B[/spoiler]

Source: GMAT Paper Tests
We see that that angle supplementary to the angle with measure of x degrees is 90 - 55 = 35 degrees. Therefore, x = 180 - 35 = 145 degrees.

Answer: B

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