Answer:
9 sides
Step-by-step 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
