SAT Math Multiple Choice Practice Question 156: Answer and Explanation

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Question: 156

2.

In the figure above, if APC is a straight line and line l bisects angle DPC, what is the measure of the angle marked w?

A. 40°
B. 50°
C. 60°
D. 70°
E. 80°

Correct Answer: E

Explanation:

E. You know that line l in the given figure is a straight line and that all straight lines contain 180°. Thus, you also know that the angle marked x must equal 50° because 40° + 90° + 50° = 180°. But then angle y must also equal 50° because line l bisects angle DPC, cutting the angle into two equal parts. Because angles x, y, and w make a straight line, the only measurement left for angle w is 80°.

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