Question

The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is ______.

Answer 1

The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is 10.

Explanation:

Given: Exterior angle = 36°

As we know that, the sum of exterior angles of a regular polygon is 360°.

Now, the number of sides is calculated as follows:

Number of sides = `360^circ/"Exterior angle"`

= `360^circ/36^circ`

= 10