GEO 5.1 - 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 non-adjacent interior angles.

Front

If angle A = 50° and angle B = 60°, what is the measure of the exterior angle C?

Back

The exterior angle C = angle A + angle B = 50° + 60° = 110°.

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

Solve for x: If angle A = 40° and angle B = 70°, what is x?

Back

x = angle A + angle B = 40° + 70° = 110°.

Front

What is the measure of angle b if angle a = 36° and angle c = 117°?

Back

Angle b = angle c - angle a = 117° - 36° = 81°.

Front

If the exterior angle is 120°, what are the possible measures of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles must equal 120°.

Front

If angle A = 30° and angle B = 50°, what is the measure of the exterior angle at vertex C?

Back

Exterior angle at vertex C = angle A + angle B = 30° + 50° = 80°.

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 A = 45° and angle B = 45°, what is the measure of the exterior angle at vertex C?

Back

Exterior angle at vertex C = angle A + angle B = 45° + 45° = 90°.

Front

Solve for x: If angle A = 60° and angle B = x, what is the measure of the exterior angle?

Back

Exterior angle = 60° + x.