Bunuel wrote:

In the figure above, if angle BAC = 80°, then z =

(A) 100

(B) 105

(C) 110

(D) 120

(E) 125

Since angle BAC = 80 = 2x, x = 40.

We know that the sum of the interior angles of a triangle is 180 degrees. Thus, angle ABC = 180 - 30 - 80 = 70 = 2y, and so y = 35.

Since x = 40 and y = 35, angle z = 180 - 40 - 35 = 105.

Answer: B

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