Question

The number of sides of a regular polygon whose exterior and interior angles are in the ratio 1:5 is

Answer 1

Answer:

Let the ratio be x and 5x.

Sum of exterior and interior angle is 180.

x + 5x = 180

or 6x = 180

or x = 180

6

or x = 30

or nx = 360

or n × 30 = 360

or n = 360

30

or n = 12.