CBSE Class 8 Answered
The exterior angle of regular polygon is 1/3 of its interior angle.find the number of side of polygon ??
Ans -8 sides
Asked by Mohdayaz9921 | 30 Dec, 2018, 06:48: AM
Expert Answer
sum of interior and exterior angles = 180°
since the ratio is 1:3, let exterior angle be x and interior angle be 3x.
then x+3x = 4x = 180 or x = 45
hence interior angle = 135°
if n is number of sides of regular polygon, interior angle θ is given by : 
......................(1)
......................(1)hence sunstituting θ = 135 in eqn.(1), and solving for n, we get n = 8
hence number of sides of regular polygon is 8
Answered by Thiyagarajan K | 30 Dec, 2018, 08:42: AM
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