Triangle Sum and Exterior Angle Theorems

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side.

Front

State the Exterior Angle Theorem.

Back

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

Front

If one angle of a triangle is 70°, what is the sum of the other two angles?

Back

The sum of the other two angles is 110° (180° - 70° = 110°).

Front

Find the measure of the missing angle if two angles are 50° and 80°. What is the missing angle?

Back

The missing angle is 50° (180° - (50° + 80°) = 50°).

Front

What are remote interior angles in relation to an exterior angle?

Back

Remote interior angles are the two non-adjacent interior angles of a triangle corresponding to a given exterior angle.

Front

If Angle A is 30° and Angle B is 60°, what is Angle C?

Back

Angle C is 90° (180° - (30° + 60°) = 90°).

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

If one exterior angle measures 120°, what are the measures of the remote interior angles?

Back

The sum of the remote interior angles is 120°.

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 its adjacent interior angle.