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 and the other is 45 degrees, what is the measure of the exterior angle?

Back

The exterior angle is 30 + 45 = 75 degrees.

Front

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

Back

The exterior angle is equal to the sum of the two opposite interior angles, not the adjacent one.

Front

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

Back

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

Front

If an exterior angle measures 105 degrees, what is the sum of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles is 105 degrees.

Front

What is the measure of the missing angle if one interior angle is 70 degrees and the other is 30 degrees?

Back

The missing exterior angle is 70 + 30 = 100 degrees.

Front

Can the Exterior Angle Theorem be applied to any polygon?

Back

No, the Exterior Angle Theorem specifically applies to triangles.

Front

If an exterior angle is 45 degrees, what could be the measures of the two non-adjacent interior angles?

Back

The two non-adjacent interior angles could be any pair of angles that sum to 45 degrees, such as 20 degrees and 25 degrees.

Front

What is the formula for calculating the measure of an exterior angle?

Back

The formula is: Exterior Angle = Interior Angle 1 + Interior Angle 2.

Front

If one interior angle of a triangle is 60 degrees and the other is 30 degrees, what is the exterior angle?

Back

The exterior angle is 60 + 30 = 90 degrees.