Question

GEOMETRY 100 POINTS

FIND X​

Answer 1

x = 9

Explanation:

Sum of angles in a polygon with n sides : (n - 2)*180

If the n sides are equal then each angle will be : sum/n

n = 6

sum = (6 - 2)*180

= 4*180

sum = 720

each angle = 720/6 = 120

⇒ 11x + 21 = 120

⇒ 11x = 120 - 21

⇒ 11x = 99

⇒ x = 99/11

⇒ x = 9