Remote Exterior Angle Theorem

Front

What does the Remote Exterior Angle Theorem state?

Back

The Remote 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.

Front

What are remote interior angles in a triangle?

Back

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

Front

How do you find the measure of an exterior angle using the Remote Exterior Angle Theorem?

Back

To find the measure of an exterior angle, add the measures of the two remote interior angles.

Front

If Angle W is an exterior angle, what are the remote interior angles?

Back

The remote interior angles to Angle W are the two angles inside the triangle that are not adjacent to Angle W.

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 Angle d is an exterior angle, what can be said about its measure compared to the remote interior angles?

Back

The measure of Angle d is equal to the sum of the measures of the two remote interior angles.

Front

What is the value of x if the remote interior angles are 30° and 50°?

Back

x = 30° + 50° = 80°.

Front

What is the measure of an exterior angle if the remote interior angles are 41° and 39°?

Back

The measure of the exterior angle is 41° + 39° = 80°.

Front

Which angles are considered adjacent to an exterior angle in a triangle?

Back

The adjacent angle is the interior angle that is next to the exterior angle.

Front

What is the definition of 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.