Exterior Angle Theorem

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 50 degrees and another is 60 degrees, what is the measure of the exterior angle?

Back

The exterior angle is 110 degrees (50 + 60 = 110).

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 an unknown 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 formula for calculating the measure of an exterior angle?

Back

Exterior Angle = Interior Angle 1 + Interior Angle 2.

Tags

CCSS.8.G.A.5

Front

In a triangle, if one exterior angle is 130 degrees, what can you say about the two non-adjacent interior angles?

Back

Their sum is 130 degrees.

Tags

CCSS.8.G.A.5

Front

If the measures of two interior angles of a triangle are 40 degrees and 70 degrees, what is the measure of the exterior angle?

Back

The exterior angle is 110 degrees (40 + 70 = 110).

Tags

CCSS.8.G.A.5

Front

What is the significance of the Exterior Angle Theorem in solving triangle problems?

Back

It helps in finding unknown angles and understanding the properties of triangles.

Tags

CCSS.8.G.A.5

Front

Can the Exterior Angle Theorem be applied to any polygon?

Back

No, it specifically applies to triangles.

Tags

CCSS.8.G.A.5