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Problem Solving (PS) | In the figure above, what is x + y in terms of z?

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Bunuel wrote:

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In the figure above, what is x + y in terms of z?

(A) 180 – z
(B) 180 + z
(C) z – 180
(D) z + 180
(E) z

[Reveal] Spoiler:


1. Vertical angle

The unnamed angle inside the triangle and z are congruent vertical angles.

Sum of interior angles of a triangle = 180

x + y + z = 180

x + y = 180 - z

2. Adjacent to exterior angle

z is on the same line as an exterior angle of the triangle, call it w, whose
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