The Polygon Angle-Sum Theorem

Front

The sum of the exterior angles of a polygon is __________________ where n is the number of sides.

Back

360 degrees.

Front

Find the measure of an exterior angle of a regular 45-gon.

Back

8 degrees.

Front

The sum of the angle measures of a polygon with n sides is 2340. What is n?

Back

15 sides.

Front

Find the sum of the angle measures in this polygon.

Back

1080 degrees.

Front

Find the measure of ONE exterior angle of a regular decagon.

Back

36 degrees.

Front

What is the formula to calculate the sum of the interior angles of a polygon with n sides?

Back

(n - 2) * 180 degrees.

Front

How do you find the measure of one interior angle of a regular polygon?

Back

Divide the sum of the interior angles by the number of sides.

Front

What is the measure of one interior angle of a regular hexagon?

Back

120 degrees.

Front

If a polygon has 8 sides, what is the sum of its interior angles?

Back

1080 degrees.

Front

What is the relationship between the number of sides and the sum of the exterior angles?

Back

The sum of the exterior angles is always 360 degrees, regardless of the number of sides.