4.3 HW Exterior Angle Theorem - IAG

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.

Front

If angle A is 36° and angle B is 63°, what is the measure of the exterior angle C?

Back

The measure of exterior angle C is 36° + 63° = 99°.

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, while the adjacent interior angle is supplementary to the exterior angle.

Front

If one interior angle of a triangle is 45° and the exterior angle is 75°, what is the measure of the other interior angle?

Back

The other interior angle is 75° - 45° = 30°.

Front

How do you find the measure of a missing angle in a triangle using the Exterior Angle Theorem?

Back

To find a missing angle, use the formula: Exterior Angle = Interior Angle 1 + Interior Angle 2.

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°.

Front

If angle T is 60° and angle U is 75°, what is the measure of the exterior angle V?

Back

The measure of exterior angle V is 60° + 75° = 135°.

Front

What is the measure of an exterior angle if one of the non-adjacent interior angles is 112°?

Back

If one non-adjacent interior angle is 112°, the exterior angle can be found by adding the other interior angle.

Front

If angle a is 63° and angle b is 36°, what is the measure of the exterior angle?

Back

The measure of the exterior angle is 63° + 36° = 99°.

Front

What is the measure of angle b if the exterior angle is 117°?

Back

If the exterior angle is 117°, then angle b can be found by subtracting the other interior angle from 117°.