Question

The measure of the interior angle of a regular polygon is 179°. How many sides does it have.

Answer 1

Answer:

360

Step-by-step explanation:

let no of sides be n

then, interior angle = 180(n-2)/n

179=180(n-2)/n

on solving this we get n = 360

Answer 2

Answer:

Regular polygon have 360 sides.

Step-by-step explanation:

Given;

The interior angle of polygon = 179°

As we know that sum of exterior angle and interior angle =180°

So, the exterior angle  = 180 - 179 =1°

No. of sides of polygon = 360 / exterior angle

                                        = 360 /1

                                        = 360