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If ∠XYZ in the figure above is a right angle, what is the value of x?

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If ∠XYZ in the figure above is a right angle, what is the value of x?  [#permalink]

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New post 29 Nov 2015, 11:02
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (00:51) correct 19% (00:44) wrong based on 62 sessions

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If ∠XYZ in the figure above is a right angle, what is the value of x?  [#permalink]

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New post 29 Nov 2015, 11:26
1
\(\angle\)XYZ = 90
\(\angle\) XYA = 90 - 55 - 35

\(\angle\) x + \(\angle\) XYA = 180
=>\(\angle\) x = 145

Answer B
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Re: If ∠XYZ in the figure above is a right angle, what is the value of x?  [#permalink]

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New post 25 Nov 2019, 12:17
Top Contributor
Bunuel 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

Attachment:
Untitled.png


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
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Re: If ∠XYZ in the figure above is a right angle, what is the value of x?  [#permalink]

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New post 25 Nov 2019, 20:04

Solution



Given
    • ∠XYZ in the figure above is a right angle

To find
    • The value of x

Approach and Working out
    • 55 + (180-x) = 90
    • 180-x = 35
    • x = 180-35
    • x =145

Thus, option B is the correct answer.

Correct Answer: Option B
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Re: If ∠XYZ in the figure above is a right angle, what is the value of x?   [#permalink] 25 Nov 2019, 20:04
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