Exterior Angles of Polygons

Front

What is an exterior angle of a polygon?

Back

An exterior angle of a polygon is formed by one side of the polygon and the extension of an adjacent side. It is the angle outside the polygon.

Front

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

Back

The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides.

Front

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

Back

To find the measure of each exterior angle of a regular polygon, divide 360 degrees by the number of sides (n): Each exterior angle = 360° / n.

Front

If a polygon has 5 sides, what is the measure of each exterior angle?

Back

Each exterior angle of a regular pentagon (5 sides) is 360° / 5 = 72°.

Front

What is the relationship between an interior angle and its corresponding exterior angle?

Back

The interior angle and its corresponding exterior angle are supplementary, meaning they add up to 180 degrees.

Front

Solve for x: 2x + 30° = 180°

Back

x = 75°.

Front

Find the measure of each exterior angle of a regular hexagon.

Back

Each exterior angle of a regular hexagon (6 sides) is 360° / 6 = 60°.

Front

What is the measure of each exterior angle of a regular 36-gon?

Back

Each exterior angle of a regular 36-gon is 360° / 36 = 10°.

Front

If one exterior angle of a polygon is 125°, what is the measure of the corresponding interior angle?

Back

The corresponding interior angle is 180° - 125° = 55°.

Front

Solve for x: 3x - 45° = 90°

Back

x = 45°.