Triangle Exterior Angle Theorem

Front

What is the Triangle Exterior Angle Theorem?

Back

The Triangle 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 an exterior angle.

Back

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

Front

If angle d is an exterior angle, which angles are remote interior angles?

Back

The remote interior angles are the two angles inside the triangle that do not share a vertex with angle d.

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.

Front

If angle A measures 62 degrees and angle B measures 36 degrees, what is the measure of angle C?

Back

Angle C measures 82 degrees (180 - 62 - 36 = 82).

Front

How do you find the measure of an exterior angle?

Back

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

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, and it is supplementary to the adjacent interior angle.

Front

If angle d is 146 degrees, what are the measures of the remote interior angles if angle a is 62 degrees?

Back

If angle d is 146 degrees and angle a is 62 degrees, then angle b must be 84 degrees (146 - 62 = 84).

Front

What is the measure of angle b if angle d is 117 degrees and angle a is 36 degrees?

Back

Angle b measures 81 degrees (117 - 36 = 81).

Front

If angle A is 54 degrees and angle B is 25 degrees, what is angle C?

Back

Angle C measures 101 degrees (180 - 54 - 25 = 101).