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.

Tags

CCSS.8.G.A.5

Front

If one interior angle of a triangle is 30 degrees and another is 70 degrees, what is the measure of the exterior angle?

Back

The exterior angle is 100 degrees (30 + 70).

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.8.G.A.5

Front

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

Back

Add the measures of the two non-adjacent interior angles to find the measure of the exterior angle.

Tags

CCSS.8.G.A.5

Front

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

Back

The sum of the two opposite interior angles is 120 degrees.

Tags

CCSS.8.G.A.5

Front

What is the measure of the missing angle if one interior angle is 58 degrees and the other is 70 degrees?

Back

The missing exterior angle is 128 degrees (58 + 70).

Tags

CCSS.8.G.A.5

Front

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

Back

The two non-adjacent interior angles can be any pair of angles that sum to 105 degrees.

Tags

CCSS.8.G.A.5

Front

What is the measure of the missing angle if one interior angle is 30 degrees and the other is 120 degrees?

Back

The missing exterior angle is 150 degrees (30 + 120).

Tags

CCSS.8.G.A.5

Front

If one interior angle of a triangle is 70 degrees, what is the measure of the exterior angle adjacent to it?

Back

The exterior angle adjacent to it can be calculated as 180 - 70 = 110 degrees.

Tags

CCSS.8.G.A.5

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.

Tags

CCSS.8.G.A.5