Question

5. If an n-sided regular polygon, each interior angle is 144º. Find the number of the sides of
the polygon.​

Answer 1

Answer:

each interior angle=180(n-2)/n

144=180(n-2)/n

144n=180n-360

360=180n-144n

360=36n

n=10 sides

Hope it helps

Answer 2

Answer:

exterior angle will be 180-144=36

The number of sides of the polygon =

360÷36 = 10

(since the sum of all the exterior angle of any polygon =360)