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.
Please help mee

Answer 1

Answer:

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 75

7x + 2x = 180

=> x = 20

Exterior angle = 40 degrees

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

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