Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • How many sides does a regular polygon have if each of its interior angles is 165°?

4. How many sides does a regular polygon have if each of its interior angles is 165°?

Answers (1)

best_answer

 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

                                                                                 \left ( n \right )\ast 15\degree= 360\degree

                                                                                       n = 24

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

Posted by

seema garhwal

View full answer

Similar Questions

Trending Articles/News

anam-khan

JNVST Class 6 admit card 2025 out at navodaya.gov.in; exam in 2 phases

Latest Question