Question

The ratio of the exterior angle to the interior angle of a regular polygon is 2:3. Find its number of sides.

Answer 1

Sum of interior angles of a n-sided polygon = (n-2)180°

Sum of exterior angles of a n-sided polynomial = 360

Given 360: (n-2)180° = 2:3

2/n-2 = 2:3

2*3 = 2(n-2)

n-2 = 3

n=5

The number of sides = 5. Thus it's a pentagon.

hope helped!

Answer 2

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