SAT Math Multiple Choice Question 668: Answer and Explanation

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Question: 668

8. Images

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. 108°
  • B. 110°
  • C. 112°
  • D. 114°

Correct Answer: A

Explanation:

A

Special Topics (polygons) EASY

The sum of the measures if the interior angles of any polygon is (n - 2)180°, where n is the number of sides in the polygon. Since this is a 5-sided polygon, the sum of its interior angles is (5 - 2)(180°) = 3(180°) = 540°. Therefore the average of these measures is 540°/5 = 108°.

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