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

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

Back

To calculate the measure of an exterior angle, add the measures of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

If one interior angle of a triangle is 40 degrees and another is 60 degrees, what is the measure of the exterior angle adjacent to the 60-degree angle?

Back

The exterior angle is 40 + 60 = 100 degrees.

Tags

CCSS.8.G.A.5

Front

What is the relationship between interior angles and exterior angles in a triangle?

Back

The sum of the measures of the interior angles of a triangle is always 180 degrees, and each exterior angle is equal to the sum of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

If the exterior angle of a triangle is 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

Can the Exterior Angle Theorem be applied to polygons other than triangles?

Back

No, the Exterior Angle Theorem specifically applies to triangles.

Tags

CCSS.8.G.A.5

Front

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

Back

The measure of an exterior angle = measure of interior angle 1 + measure of interior angle 2.

Tags

CCSS.8.G.A.5

Front

If a triangle has angles measuring 30 degrees and 50 degrees, what is the measure of the exterior angle adjacent to the 50-degree angle?

Back

The exterior angle is 30 + 50 = 80 degrees.

Tags

CCSS.8.G.A.5

Front

What is the maximum possible measure of an exterior angle in a triangle?

Back

The maximum possible measure of an exterior angle in a triangle is less than 180 degrees.

Tags

CCSS.8.G.A.5

Front

How does the Exterior Angle Theorem help in solving for unknown angles in a triangle?

Back

The Exterior Angle Theorem provides a relationship that can be used to find unknown angles by setting up equations based on the known angles.

Tags

CCSS.8.G.A.5