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

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

Front

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

Back

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

Front

If a polygon has 10 sides, what is the measure of each exterior angle?

Back

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

Front

If a polygon has 12 sides, what is the measure of each exterior angle?

Back

Each exterior angle of a 12-gon is 30° (360° / 12 = 30°).

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

How do you find the missing exterior angle if you know the other angles?

Back

To find a missing exterior angle, subtract the sum of the known exterior angles from 360°.

Front

What is the measure of each exterior angle of a regular 67-gon?

Back

Each exterior angle of a regular 67-gon is approximately 5.4° (360° / 67 ≈ 5.4°).

Front

If one exterior angle of a polygon is 105°, what is the measure of the corresponding interior angle?

Back

The corresponding interior angle is 75° (180° - 105° = 75°).

Front

What is the measure of each exterior angle of a regular 18-gon?

Back

Each exterior angle of a regular 18-gon is 20° (360° / 18 = 20°).