Exterior Angle and Remote Interior Angles

Front

What is an exterior angle in a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side. It is equal to the sum of the two remote interior angles.

Front

What are remote interior angles?

Back

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

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 exterior angle measures 140 degrees, what is the sum of the remote interior angles?

Back

The sum of the remote interior angles is 140 degrees.

Front

Calculate the value of x if the remote interior angles are 40 degrees and 60 degrees.

Back

x = 100 degrees (40 + 60 = 100).

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, but it is not equal to the adjacent interior angle.

Front

If an exterior angle is 160 degrees, what are the possible values of the remote interior angles?

Back

The sum of the remote interior angles must equal 160 degrees.

Front

What is the measure of an exterior angle if the remote interior angles are 75 degrees and 45 degrees?

Back

The measure of the exterior angle is 120 degrees (75 + 45 = 120).

Front

If one remote interior angle is 22 degrees, what is the other if the exterior angle is 66 degrees?

Back

The other remote interior angle is 44 degrees (66 - 22 = 44).

Front

Identify the smaller remote interior angle if the angles are 10 degrees and 40 degrees.

Back

The smaller remote interior angle is 10 degrees.