Question

The number of sides of a regular polygon when each of its interior angle has a measure of 135 degree is

(A)7 (B)12 (C)9 (D)8

Answer 1

Answer:

B 12 is a correct answer

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

The measure of each interior angle is 165°

So, measure of each exterior angle = 180°-165° = 15°

Regular polygon has all exterior angles equal.

Let number of sides of polygon = n

Sum of Exterior angles of a polygon = 360\degree

                                                                                15\degree= 360\degree

                                                                                      n = 24  

Hence,regular polygon having each of its interior angles is 165° has 24 sides.