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.

Tags

CCSS.8.G.A.5

Front

Define remote interior angles in relation to an exterior angle.

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

Tags

CCSS.8.G.A.5

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

Back

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

Tags

CCSS.8.G.A.5

Front

Calculate the measure of an exterior angle if the remote interior angles measure 40° and 50°. What is the exterior angle?

Back

The exterior angle measures 90° (40° + 50° = 90°).

Tags

CCSS.8.G.A.5

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, while the adjacent interior angle is not included in this sum.

Tags

CCSS.8.G.A.5

Front

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

Back

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

Tags

CCSS.8.G.A.5

Front

How do you find a missing angle using the Triangle Exterior Angle Theorem?

Back

To find a missing angle, add the measures of the two remote interior angles.

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 = 54° and angle B = 62°, what is the measure of angle C?

Back

Angle C measures 64° (180° - 54° - 62° = 64°).

Tags

CCSS.8.G.A.5

Front

What is the measure of an exterior angle if the remote interior angles are 25° and 116°?

Back

The exterior angle measures 141° (25° + 116° = 141°).

Tags

CCSS.8.G.A.5