Question

how many sides does a regular polygon have whose interior and exterior angles are in the ratio of 2:1

Answer 1

interior angle + exterior angle = 180

Define x:

Let the interior angle be x

The exterior angle is 2x

Solve x:

x + 2x = 180

3x = 180

x = 60

Find the number of sides:

exterior angle = x = 60

Number of sides = 360 ÷ 60 = 6

Answer; It is a 6 sided polygon.