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 remote interior angles.

Tags

CCSS.8.G.A.5

Front

If Angle A is 42° and Angle B is 8x, what is the equation to find x using the Exterior Angle Theorem?

Back

42 + 8x = 2 + 12x

Tags

CCSS.8.G.A.5

Front

What are remote interior angles in relation to an exterior angle?

Back

Remote interior angles are the two interior angles of a triangle that are not adjacent to the exterior angle.

Tags

CCSS.8.G.A.5

Front

How do you calculate the measure of an exterior angle?

Back

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

Tags

CCSS.8.G.A.5

Front

If Angle W is an exterior angle, which angles are its remote interior angles?

Back

The remote interior angles to Angle W are the two angles inside the triangle that do not share a vertex with Angle W.

Tags

CCSS.8.G.A.5

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180°.

Tags

CCSS.8.G.A.5

Front

If Angle A is 42° and Angle B is 8x, what is the measure of the exterior angle if Angle C is 12x?

Back

The measure of the exterior angle is 42 + 8x.

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 remote interior angles, not the adjacent interior angle.

Tags

CCSS.8.G.A.5

Front

If the exterior angle measures 91°, what are the possible measures of the remote interior angles?

Back

The remote interior angles must sum to 91°.

Tags

CCSS.8.G.A.5

Front

If Angle A is 42° and Angle B is 8x, what is the value of x if the exterior angle is 2 + 12x?

Back

Set up the equation: 42 + 8x = 2 + 12x and solve for x.

Tags

CCSS.8.G.A.5