passpadi

2017

Mathematics

JAMB

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

Correct Answer: 6

Explanation

2x + x = 180° 3x = 180° x = 60° (exterior angle of the polygon) angle = total angle/number of sides 60 = 360/n n = 360/60 n = 6 sides

2x + x = 180° 3x = 180° x = 60° (exterior angle of the polygon) angle = total angle/number of sides 60 = 360/n n = 360/60 n = 6 sides
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