Question

Find the measure of an exterior angle of a regular 48​-gon.

Answer 1

The exterior angle of a polygon is the angle between any side of the polygon and an extended line from the next side. For a regular 48-gon, each internal angle measures 360°/48 = 7.5°. Therefore, its exterior angle also measures 7.5°.

Answer 2

7.5°

Explanation:

The sum of the exterior angles of any polygon is always 360 degrees. For a regular polygon with n sides, each exterior angle measures 360 degrees divided by n.

In this case, the polygon has 48 sides, so:

Each exterior angle = 360 degrees / 48 = 7.5 degrees

Therefore, the measure of an exterior angle of a regular 48-gon is 7.5 degrees.