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Question

The ratio of an interior angle to the exterior angle of a regular polygon is 7:2. Find the number of sides of the polygon.
  1. 19
  2. 7
  3. 9
  4. 8

A
19
B
9
C
7
D
8
Solution
Verified by Toppr

Interior angle of a polygon of n-sides = (n2)πn
Exterior angle of a polygon of n-sides = 2πn
Taking there ratio, and equating it to 72
Thus n22 = 72
n=9

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