Exterior Angles of Triangles

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. It is equal to the sum of the two remote interior angles.

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 one interior angle of a triangle is 40 degrees and another is 70 degrees, what is the measure of the exterior angle adjacent to the 70-degree angle?

Back

The exterior angle is 110 degrees (180 - 70 = 110).

Front

What are remote interior angles?

Back

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

Front

How do you calculate the measure of an exterior angle?

Back

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

Front

If angle A is 50 degrees and angle B is 60 degrees, what is the measure of the exterior angle at vertex C?

Back

The exterior angle at vertex C is 110 degrees (50 + 60 = 110).

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360 degrees.

Front

Can an exterior angle be greater than 180 degrees?

Back

No, an exterior angle cannot be greater than 180 degrees in a triangle.

Front

What is the formula for finding the measure of an exterior angle?

Back

The measure of an exterior angle = measure of angle 1 + measure of angle 2 (where angle 1 and angle 2 are the remote interior angles).

Front

If angle d is an exterior angle, which angles can be added to find its measure?

Back

Angle d can be found by adding the measures of the two remote interior angles.