SAT Math Multiple Choice Practice Question 232: Answer and Explanation

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Question: 232

12.

The figure above shows a polygon with five sides. What is the average (arithmetic mean) of the measures, in degrees, of the five angles shown?

A. 85°
B. 108°
C. 120°
D. 324°
E. 540°

Correct Answer: B

Explanation:

B Any five-sided polygon can be divided into three triangles like so:

Since the sum of the angles in a triangle is 180°, the sum of the angles in this figure is . The average measure of the five angles, then, is .

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