SSAT Math Question 313: Answer and Explanation
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Question: 313
2. The total of the measures of all the angles of a pentagon is
- A. 180°
- B. 270°
- C. 360°
- D. 540°
Correct Answer: D
Explanation:
The answer is D
The sum of the degrees in a polygon of n sides is determined by 180(n - 2). As there are 5 sides in a pentagon, the sum of the degrees is 180(5 - 2) = 180(3) = 540.
Draw a pentagon and carve it into a quadrilateral and triangle. As there are 360° in a quadrilateral and 180° in a triangle, the two shapes combined will have 540°.