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Each interior angle of a regular polygon is 150°. Find the number of sides, and the measure of each

Question

Each interior angle of a regular polygon is 150°. Find

the number of sides, and the measure of each exterior angle.

A 25° Correct Answer Incorrect Answer

B 45° Correct Answer Incorrect Answer

C 90° Correct Answer Incorrect Answer

D 30° Correct Answer Incorrect Answer

Solution

Interior angle of regular n-gon: [(n − 2)×180]/n = 150 180n − 360 = 150n 30n = 360 ⇒ n = 12 Each exterior angle = 360°/n = 360°/12 = 30°.

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