Question

Find the number of sides of a regular polygon whose interior angle
measures 144°.

Answer 1

Answer:

Polygon exterior angle = 360°

Number of sides

Interior angle = 180° - exterior angles

Therefore, 180°- 360° = 144°

180°n - 360°. = 144°

N

180°n - 360° = 144°n

180°n - 144°n = 360°

36°n =. 360°

n = 360°

36°

Number of sides = 10