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MATHEMATICS

JAMB 2000 - Question 32

Mathematics 2000 JAMB Past Questions - Question 32: In a regular polygon ,each interior angle doubles its corresponding exterior angle.Find the number of sides of the polygon

In a regular polygon ,each interior angle doubles its corresponding exterior angle.Find the number of sides of the polygon

A: 8

B: 6

C: 4

D: 3

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Correct Answer

Explanation

let the exterior angle be x;therefore interior angle will be 2x2x + x = 180 (sum of angles on a stright line)3x = 180x = 180 /3 = 60number of sides (n) = 360 / exterior angle = 360 /60 = 6 In a regular polygon ,each interior angle doubles its corresponding exterior angle.Find the number of sides of the polygon