Question

Calculate the number of sides of a regular polygon whose interior angles are each 156

Answer 1

the formula is =n/(2n-4)=90/int. angle
no. of sides=n/(2n-4)=90/156
=>n/(2n-4)=15/26
=>26n=30n-60
=>-4n=-60
=>n=15

Answer 2

Answer:

15 sides

Step-by-step explanation:

We know, Interior angles+ Exterior angles= 180(degrees)

                => 156+E= 180

                => E=180-156

               E=24

We know, no. of sides= 360/E

                                    =360/24

                                    =15