Question

If the difference between the exterior angle and interior angle of a polugon is 60°,then find the number of sides of the polygon

Answer 1

Answer-

Either 6 or 3

Step-by-step explanation:

Since the difference of the exterior and interior angle is 60

SO ,Let interior angle be x

Exterior angle be x+60

ATQ

x+x+60 = 180

2x + 60 = 180

2x= 120

x=60

So interior angle = 60

exterior angle = 120

No . of sides of the polygon = 360 / Exterior angle

= 360/ 120 = 3

THE ANSWER CAN ALSO BE ^ CONSIDERING THAT THE INTERIOR ANGLE IS GREATER THAN THE EXTERIOR ANGLE

then the value of bothe the angle will just reverse and you have to do the same