In's and Outs Lesson 3

Front

What is the sum of the measures of the exterior angles of any polygon?

Back

360°

Front

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

Back

Divide 360° by the number of sides (n).

Front

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

Back

(n - 2) × 180°.

Front

What is the sum of the interior angles of a decagon?

Back

1440°.

Front

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

Back

144°.

Front

If a polygon has 9 sides, what is the sum of its exterior angles?

Back

360°.

Front

What is the measure of one exterior angle of a regular nonagon?

Back

40°.

Front

How do you calculate the sum of the interior angles of a nonagon?

Back

(9 - 2) × 180° = 1260°.

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°, regardless of the number of sides.

Front

If the measure of one exterior angle of a regular polygon is 30°, how many sides does it have?

Back

12 sides (360° ÷ 30° = 12).