Question

The number of sides of a regular polygon where each exterior angle has a measure of 45° is ______.

Options

• 8

• 10

• 4

• 6

Answer 1

The number of sides of a regular polygon where each exterior angle has a measure of 45° is 8.

Explanation:

We know that, the sum of exterior angles taken in an order of a polygon is 360°.

Since, each exterior angle measures 45°,

Therefore the number of sides

= `"Sum of exterior angles"/"Measure of an exterior angle"`

= `360^circ/45^circ`

= 8