Question

If the measure of the interior angle of a regular polygon is 60° greater than the measure of its exterior angle then how many sides does it have?​

Answer 1

Answer:

let the exterior angle be x

so interior angle will be x+60

the aim of both the angles interior and exterior will be 180

so x+(x+60)=180

2x=180-60

2x=120

x=60

to find out sides in a regular polygon which has exterior angle 60°will be

360°(as the sum of the exterior angles )/60°=6 sides

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