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.

Front

Define remote interior angles in relation to a triangle.

Back

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

Front

If one exterior angle of a triangle measures 120°, what is the sum of the remote interior angles?

Back

The sum of the remote interior angles is 120°.

Front

Set up an equation to find x: 52 + 5x + 16 = ? + 8

Back

10x

Front

What is the measure of the exterior angle if the remote interior angles are 45° and 55°?

Back

The measure of the exterior angle is 100°.

Front

Identify the remote interior angles for an exterior angle formed by Angle A.

Back

Angle C and Angle D.

Front

Set up an equation to find x: 42 + 8x = ? + 12x

Back

2

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.

Front

If the exterior angle is 130°, what are the measures of the remote interior angles?

Back

The remote interior angles must sum to 130°.

Front

Set up an equation to find x: 52 + 5x + 16 + 10x + 8 = 180. What is the simplified equation?

Back

52 + 5x + 16 = 10x + 8.