Question

Find the measure of each interior angle of a regular polygon with following number of sides.
(a) 12​

Answer 1

Answer:

150°

Step-by-step explanation:

(n-2) x 180

= (12-2)x180

= 10x180

= 1800 ( Sum of all interior angles)

Measure of each interior angle

= 1800 / 12

= 150°

PLEASE DO THANK AND MARK AS BRAINLIEST

Answer 2

Answer:

let the measure angle of each interior be x

then the measure of each exterior angle is 180°- x

sum of all exterior angles is 12 x (180°-x)

we know that this sum is 300

Thus 12 x ( 180°-x) = 300

180°- x = 30

x = 180°-30°=150°

therefore the measure of each interior angle of a regular polygon of 12 sides is 150°.