Question

Each interior angles of a regular polygon is 120° more than each of the exterior angles. How many sister had it?

Answer 1

Answer:

12 SIDES

Step-by-step explanation:

= Let each exterior angle be A. Then each interior angle will be 120 + A.

= The sum of an exterior and its corresponding interior angle is 180o.

= Therefore, A + (120 + A) = 180 => A = 30.

= From key formula 2, sum of the exterior angles of a convex polygon = 360.

= i.e., if the polygon has 'n' sides, then n × A = 360

= Number of sides of the regular polygon, n = 360measure of one exterior angle360measure of one exterior angle = 360 ÷ 30 = 12 sides.