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In the figure, w = ?

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Bunuel
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In the figure, w = ? [#permalink] New post  09 Sep 2021, 02:29
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In the figure, w = ?

(A) 30
(B) 32
(C) 40
(D) 52
(E) 60

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BrentGMATPrepNow
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Re: In the figure, w = ? [#permalink] New post  09 Sep 2021, 07:49
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Bunuel wrote:

In the figure, w = ?

(A) 30
(B) 32
(C) 40
(D) 52
(E) 60

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Attachment:
nj.jpg


Since angles on a line must add to 180°, we know that x° + 150° = 180°, which means x = 30.
Since angles a triangle must add to 180°, we know that z° + 30° + 90° = 180°, which means z = 60.
Since opposite angles are equal, we know that z° = y°, which means y = 60.
Finally, since angles a triangle must add to 180°, we know that w° + 60° + 90° = 180°, which means w = 30.

Answer: A

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tbhauer
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Re: In the figure, w = ? [#permalink] New post  09 Sep 2021, 09:25
x=180-150=30
z=180-30-90=60
y=z=60
w=180-90-60=30
Ans=A
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v12345
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Re: In the figure, w = ? [#permalink] New post  09 Sep 2021, 09:31
The two triangles are similar.
One angle is 90 in both.
Second, y=z (Vertically opposite angles)

It gives w = x = 180-150 = 30
Hence, OA is (A).
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Re: In the figure, w = ? [#permalink]
09 Sep 2021, 09:31
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