Triangle Sum and Exterior Angle Theorem Practice

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 70 degrees and another is 50 degrees, what is the measure of the third angle?

Back

The third angle is 60 degrees (180 - 70 - 50 = 60).

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side.

Front

According to the Exterior Angle Theorem, how do you find the measure of an exterior angle?

Back

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

Front

If angle A is 40 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 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 opposite interior angles.

Front

If the angles of a triangle are represented as x, y, and z, what equation represents the Triangle Sum Theorem?

Back

x + y + z = 180 degrees.

Front

In a triangle, if one angle measures 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is the measure of an angle if its exterior angle is 120 degrees?

Back

The measure of the adjacent interior angle is 60 degrees (180 - 120 = 60).

Front

If angle A is 30 degrees and angle B is 70 degrees, what is angle C?

Back

Angle C is 80 degrees (180 - 30 - 70 = 80).