Question

# If the ratio of the exterior angle and interior angle of a regular polygon is 2: 3, the number of sides of the polygon is 7 6 5 4

Solution

## The correct option is C 5 It is given that the polygon is regular.       Let exterior angle = 2x°       Interior angle = 3x° (given) In a regular polygon,      interior angle +  exterior angle = 180°                  3x + 2x  = 180°                                  5x = 180°                                    x = 36° ∴ Exterior angle = 2×36°=72°      Number of sides (n) = 360°exterior angle         = 360°72°         = 5 Hence (C)

Suggest corrections