Polygon Angle Sum Theorems

Front

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

Back

360°

Front

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

Back

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

Front

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

Back

36°

Front

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

Back

40°

Front

What is the formula to find the sum of the interior angles of a polygon?

Back

(n - 2) × 180°, where n is the number of sides.

Front

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

Back

150°

Front

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

Back

Use the formula: ((n - 2) × 180°) / n.

Front

What is the relationship between interior and exterior angles of a polygon?

Back

Interior angle + Exterior angle = 180°.

Front

What is the sum of the measures of the interior angles of a hexagon?

Back

720°.

Front

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

Back

108°.