Question

An exterior angle and the interior angle of a regular polygon are in the ratio 2:7. Find the number of sides of the polygon.

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Since, the ratio of its internal to external angle is 7:2, you can say that

its internal angle = 7x and exterior angle = 2x.

Therefore,

Vol 91

7x + 2x = 180

=> x = 20

Exterior angle = 40 degrees

now (exterior angle) = 360/(no. of sides)

solving, you will get no. of sides = 9.