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The number of sides of a regular polygon each of whose angles measures \( \Large 156 ^{\circ} \) is

A) 8
B) 10
C) 12
D) 15

Correct Answer:




D) 15

Description for Correct answer:
Sum of the interior angles of an n-sided regular polygon

= \( \Large \left(2n-4\right) \times 90 ^{\circ} \)

Therefore, \( \Large \left(2n-4\right) \times 90 ^{\circ} = 156 \times n \)

=> \( \Large 180n - 360 = 156n \)

=> \( \Large 180n - 156n = 360 \)

=> \( \Large n = \frac{360}{24} = 15 \)

Part of solved Quadrilateral and parallelogram questions and answers : >> Elementary Mathematics >> Quadrilateral and parallelogram

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Similar Questions

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