SAT Math Multiple Choice Practice Question 119: Answer and Explanation

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Question: 119


In the diagram above, lines p and q are parallel. The measure of the angle marked x is

A. 30°
B. 40°
C. 50°
D. 60°
E. 70°

Correct Answer: A


A. Because 110° and 40° are two angles of a triangle, the sum of the three angles has to be 180°, which means the third angle must be 30°. The third angle makes a Z with x, and, because the original lines are parallel, these angles are congruent. (Officially, the 30° angle in the triangle and x are alternate interior angles.)

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