Exterior Angles of a Triangle

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 opposite interior angles.

Front

How do you calculate the measure of an exterior angle?

Back

To calculate the measure of an exterior angle, you can add the measures of the two non-adjacent interior angles of the triangle.

Front

What is the relationship between the exterior angle and the interior angles of a triangle?

Back

The exterior angle is equal to the sum of the two non-adjacent interior angles.

Front

If one interior angle of a triangle is 40 degrees and another is 60 degrees, what is the measure of the exterior angle adjacent to the 60-degree angle?

Back

The exterior angle is 40 + 60 = 100 degrees.

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

In a triangle, if one exterior angle measures 120 degrees, what is the sum of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 120 degrees.

Front

What is the formula for finding the measure of an exterior angle in terms of the interior angles?

Back

The measure of an exterior angle = Interior angle 1 + Interior angle 2.

Front

If angle A is 75 degrees and angle B is 45 degrees in a triangle, what is the measure of the exterior angle at angle C?

Back

The exterior angle at angle C is 75 + 45 = 120 degrees.

Front

What is the measure of an exterior angle if the two non-adjacent interior angles are 50 degrees and 70 degrees?

Back

The measure of the exterior angle is 50 + 70 = 120 degrees.

Front

Can an exterior angle of a triangle be greater than 180 degrees?

Back

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