Question

How many sides does a regular polygon have if each of its interior angles measures
(a) 108°
(b) 120°
(c) 140°
(d) 160° ​

Answer 1

Answer

Steps -

1. Substract given angle from 180°
2. Divide the difference by 360°

Solution

a) 108

》180 - 108 = 72

》 360 ÷ 72 = 5

b) 120

》180 -120 =60

》360 ÷60 = 6

c) 140

》180 -140 = 40

》360÷40 = 9

d) 160

》180 -160 = 20

》360 ÷20 = 18

No. of Sides :

a) = 5

b) =6

c) =9

d) =18

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