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.

Tags

CCSS.8.G.A.5

Front

If angle A is 62° and angle B is 36°, what is the measure of the exterior angle C?

Back

The measure of exterior angle C is 62° + 36° = 98°.

Tags

CCSS.8.G.A.5

Front

What is the relationship between an exterior angle and its adjacent interior angle?

Back

An exterior angle is equal to the sum of the two opposite interior angles, and it is supplementary to its adjacent interior angle.

Tags

CCSS.8.G.A.5

Front

If the exterior angle is 117°, what are the possible measures of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles must equal 117°.

Tags

CCSS.8.G.A.5

Front

Solve for x: If angle A = 54° and angle B = x, what is the measure of the exterior angle?

Back

The exterior angle = 54° + x.

Tags

CCSS.8.G.A.5

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°.

Tags

CCSS.8.G.A.5

Front

If angle A = 25° and angle B = 62°, what is angle C?

Back

Angle C = 180° - (25° + 62°) = 93°.

Tags

CCSS.8.G.A.5

Front

What is the measure of an exterior angle if the two non-adjacent interior angles are 36° and 63°?

Back

The exterior angle = 36° + 63° = 99°.

Tags

CCSS.8.G.A.5

Front

If angle A = 116°, what is the measure of the exterior angle at vertex A?

Back

The exterior angle at vertex A = 180° - 116° = 64°.

Tags

CCSS.8.G.A.5

Front

What is the formula to find the measure of an exterior angle?

Back

Exterior angle = Interior angle 1 + Interior angle 2.

Tags

CCSS.8.G.A.5