Exterior Angles

Front

What is an exterior angle in a polygon?

Back

An exterior angle is formed by one side of a polygon and the extension of an adjacent side. It is equal to the sum of the two opposite interior angles.

Front

How do you calculate the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the exterior angles of a polygon and the number of sides it has?

Back

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

Front

If one exterior angle of a triangle measures 60 degrees, what is the sum of the other two interior angles?

Back

The sum of the other two interior angles is 120 degrees, since the exterior angle is equal to the sum of the two non-adjacent interior angles.

Tags

CCSS.8.G.A.5

Front

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

Back

The measure of each exterior angle of a regular polygon can be found using the formula: 360° / n, where n is the number of sides.

Front

How do you find the missing exterior angle if two angles are known?

Back

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

Front

What is the measure of an exterior angle if the interior angle is 120 degrees?

Back

The measure of the exterior angle is 60 degrees, since exterior angle = 180° - interior angle.

Tags

CCSS.8.G.A.5

Front

Can an exterior angle be greater than 180 degrees?

Back

No, an exterior angle cannot be greater than 180 degrees in a polygon.

Tags

CCSS.8.G.A.5

Front

What is the relationship between adjacent exterior angles?

Back

Adjacent exterior angles are supplementary, meaning they add up to 180 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

You can determine the number of sides by using the formula: n = 360° / exterior angle.