Question

the exterior and interior angles of a regular polygon are in the ratio of 2:13 .find the number of sides of the polygon
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Answer 1

the sum of interior angle and exterior angle of a polygon =360

let the value of the angles be 2x and 13x

2x+13x=360

=15x=360

x=360÷15

x=24

This is the exterior angle. Since the exterior angles add up to 360 and since they are all the same in a regular polygon, the number of exterior angles is:

360/24 = 15°

Answer 2

Answer:

let 2:13 be 2x and 13x

Step-by-step explanation:

ATQ, 2x+13x=180

15x=180

x=180/15

therefore,x=12 sides