Angles in Polygons

Front

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

Back

The sum of the interior angles of a polygon with n sides is (n - 2) × 180°.

Front

What is the measure of each interior angle of a regular polygon with n sides?

Back

The measure of each interior angle of a regular polygon with n sides is ((n - 2) × 180°) / n.

Front

What is a regular polygon?

Back

A regular polygon is a polygon with all sides and angles equal.

Front

How do you find the number of sides of a regular polygon if you know the measure of one interior angle?

Back

Use the formula n = 360° / (180° - measure of the interior angle).

Front

What is the measure of each exterior angle of a regular polygon?

Back

The measure of each exterior angle of a regular polygon is 360° / n.

Front

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

Back

The interior angle and exterior angle at each vertex of a polygon are supplementary, meaning they add up to 180°.

Front

If a polygon has 11 sides, what is the sum of its interior angles?

Back

The sum of the interior angles of an 11-sided polygon is (11 - 2) × 180° = 1620°.

Front

What is the name of a polygon with 9 sides?

Back

A polygon with 9 sides is called a nonagon.

Front

If the sum of the interior angles of a polygon is 720°, how many sides does it have?

Back

The polygon has 8 sides (octagon).

Front

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

Back

The measure of an interior angle of a regular hexagon is 120°.