Remote Exterior Angle Theorem

Front

What is the Remote Exterior Angle Theorem?

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?

Back

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

Front

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

Back

The remote interior angles are the two angles inside the triangle that do not share a vertex with Angle W.

Front

Solve for x: x + 51 + 47 = 180

Back

x = 180 - 51 - 47 = 82.

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 degrees.

Front

If one angle of a triangle is 80 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 100 degrees (since 180 - 80 = 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, and it is supplementary to the adjacent interior angle.

Front

If Angle X = 51° and Angle Y = 47°, what is the measure of the exterior angle?

Back

The measure of the exterior angle is 51° + 47° = 98°.

Front

Which equation would solve for x if the exterior angle is 180 degrees?

Back

x + 51 + 47 = 180.

Front

What is the value of x if the exterior angle is 180 degrees and the remote interior angles are 51° and 47°?

Back

x = 180 - 51 - 47 = 82.