Exploring Polygon Angles and Types

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Front

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

Back

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

Front

How do you calculate the measure of each interior angle of a regular polygon?

Back

To find the measure of each interior angle of a regular polygon, use the formula: (Sum of interior angles) / n = [(n - 2) × 180°] / n.

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 given by the formula: 360° / n, where n is the number of sides.

Front

If a polygon has an exterior angle of 30°, how many sides does it have?

Back

To find the number of sides, use the formula: n = 360° / exterior angle. For 30°, n = 360° / 30° = 12 sides.

Front

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

Back

The interior and exterior angles of a polygon are supplementary, meaning they add up to 180°.

Front

What is a regular polygon?

Back

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

Front

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

Back

Each interior angle of a regular pentagon measures 108°.

Front

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

Back

Each exterior angle of a regular dodecagon measures 30°.

Front

How do you determine the number of sides of a polygon if you know the measure of an exterior angle?

Back

Use the formula: n = 360° / measure of exterior angle.