Interior and Exterior Angles of Polygons

Front

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

Back

(n - 2) × 180°

Front

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

Back

Divide the sum of the interior angles by the number of sides: (n - 2) × 180° / n

Front

What is the measure of one exterior angle in a regular polygon?

Back

360° / n, where n is the number of sides.

Front

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

Back

Interior angle + Exterior angle = 180°

Front

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

Back

108°

Front

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

Back

120°

Front

If one interior angle of a polygon is 150°, what is the measure of its corresponding exterior angle?

Back

30°

Front

How many sides does a polygon have if the measure of one interior angle is 135°?

Back

8 sides (octagon)

Front

What is the formula to calculate the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles is always 360°.

Front

What is the measure of one interior angle in a regular octagon?

Back

135°