How many degrees is angle x?

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How many degrees is angle x?

by AAPL » Sat Nov 18, 2017 3:09 pm
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How many degrees is angle x?

(1) y = 47°
(2) z = 110°

The OA is D.

Please, can any expert assist me with this DS question? I don't have it clear and I appreciate if any explain it for me. Thanks.

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by Jay@ManhattanReview » Mon Dec 11, 2017 9:55 pm
AAPL wrote:Image

How many degrees is angle x?

(1) y = 47°
(2) z = 110°

The OA is D.

Please, can any expert assist me with this DS question? I don't have it clear and I appreciate if any explain it for me. Thanks.
(1) y = 47°

Since y = 47°, the internal angle of the triangle, that is opposite of angle y is also 47º. Thus, we have 47 + x = 180 => xº = 180 - 47 = 137º. Sufficient.

(2) z = 110°

Since z = 110°, the internal angle of the triangle, that is adjacent to the angle z = 180º - 110º = 70º. Thus, we have 70 + 63 = xº => xº = 137º. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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