Question

if each angle of a regular polygon is 150°, then the number of sides of a polygon is
(a)15
(b)14
(c)13
(d)12 = ANSWER
PLEASE tell how here only

Answer 1

Hey Mate

your answer is --

Given, each angles of regular polygon is 150°

Let, number of sides be n .

therefore,

180°- 360°/n = 150°

=> 180n - 360 = 150n

=> 180n - 150n = 360

=> 30n = 360

=> n = 360/30 = 12

=> n = 12.

Hence, number of sides of polygon is 12

Option (d) is right


【 Hope it helps you 】

Answer 2

angle=(n-2)*180/n
150°=(n-2)*180/n
150n=180n-360
-30n=-360
n=12
HOPE IT HELPS!!!