MATH SOLVE

2 months ago

Q:
# What is the measure of an exterior angle of a regular 7-sided polygon? Round to the nearest tenth of a degree

Accepted Solution

A:

ANSWER:

51.4 degrees

EXPLANATION:

The exterior angles of any polygon always add up to 360.

Therefore, to find one of the angles of any regular (meaning each angle and side is the same) polygon, you use the formula 360/n=e

N represents the number of sides the polygon has. E represents the measure of the exterior angle.

360/n=e

360/7=e

51.4=e

Therefore, the measure of the exterior angle in a 7-sided regular polygon is 51.4 degrees.

51.4 degrees

EXPLANATION:

The exterior angles of any polygon always add up to 360.

Therefore, to find one of the angles of any regular (meaning each angle and side is the same) polygon, you use the formula 360/n=e

N represents the number of sides the polygon has. E represents the measure of the exterior angle.

360/n=e

360/7=e

51.4=e

Therefore, the measure of the exterior angle in a 7-sided regular polygon is 51.4 degrees.