# 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°.