Question

Each interior angle of a regular polygon is 100 degrees larger than the exterior angle determine the number of sides of the polygon

Answer 1

9 sides

Explanation:

Each interior angle of a regular polygon is 100 degrees larger than the exterior angle determine the number of sides of the polygon

Interior angle + exterior angle =

180°

Let x be the exterior angle.

Exterior angle = 180-x = 100 + x

= 180 - 100 = x + x

80 = 2x

x = 80/2

x = 40

Number of sides of the polygon =

= 360°/Exterior angle

Exterior angle = 40°

= 360/40 = 9 sides