Question

10. Find the number of sides of a regular polygon whose each extension angle has a measure of 450
11. Find the measure of each exterior angle of a regular polygon of 12 sides​

Answer 1

Answer:

11. 12 sides

= Each exterior angle angle of regular polygon = 360°/n = 360°/12 = 30°.

Hence measure of each exterior angle

= 30°

10. Total measure of all exterior angle

= 360°

Measure of each exterior angle = 45°

Therefore, the number of sides of exterior angle of regular polygon

= 360°/45° = 8

Hence, the polygon has 8 sides.