Question

(1) 24
5. Find the number of sides of a regular polygon if each of its interie
(1) 90°
(ii) 1089
(iii) 165​

Answer 1

1 is the answer and please follow and like i'll answer your each question

Answer 2

Hi friends,

Formula: N-2÷N*180

i)90N =N-2÷N*180°

90 N=180°N-360°

90N°=360°

N= 4

so that number of sides of polygon =4

iii)165=N-2÷N×180

165N=180N-360

15N=360

N=24

ii) None of the polygon has their exterior angle has 1089

But 1080 which is possible Which is octagon

By using Another way

N-2*180=1080

N-2=1080÷180

N-2=6

N=8