Exterior Angle Theorem Practice

Front

What is the Exterior Angle Theorem?

Back

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

Front

If one interior angle of a triangle is 30 degrees, what is the measure of the exterior angle adjacent to it?

Back

The exterior angle is 180 - 30 = 150 degrees.

Front

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

Back

The exterior angle is supplementary to its adjacent interior angle, meaning they add up to 180 degrees.

Front

If the measures of two interior angles of a triangle are 50 degrees and 65 degrees, what is the measure of the exterior angle adjacent to the 65-degree angle?

Back

The exterior angle is 50 + 65 = 115 degrees.

Front

How do you find the measure of a missing angle in a triangle using the Exterior Angle Theorem?

Back

To find a missing angle, add the measures of the two non-adjacent interior angles.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If an exterior angle measures 120 degrees, what is the sum of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles is 120 degrees.

Front

What is the measure of an exterior angle if one of the non-adjacent interior angles is 30 degrees and the other is 50 degrees?

Back

The exterior angle measures 30 + 50 = 80 degrees.

Front

If an exterior angle is 150 degrees, what is the measure of the adjacent interior angle?

Back

The adjacent interior angle measures 180 - 150 = 30 degrees.

Front

Can the Exterior Angle Theorem be applied to any polygon?

Back

No, the Exterior Angle Theorem specifically applies to triangles.