4.7 Triangle Angle Sum and Exterior Angle

Front

What is the Triangle Angle Sum Theorem?

Back

The Triangle Angle 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 90 degrees, what type of triangle is it?

Back

It is a right 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.

Front

How do you calculate 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 30 degrees and angle B is 60 degrees, what is angle C in triangle ABC?

Back

Angle C is 90 degrees (180 - 30 - 60 = 90).

Front

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

Back

The exterior angle is equal to the sum of the two opposite interior angles.

Front

If the angles of a triangle are in the ratio 2:3:4, what are the measures of the angles?

Back

The angles are 40 degrees, 60 degrees, and 80 degrees.

Front

What is the measure of an angle if its supplement is 70 degrees?

Back

The angle measures 110 degrees (180 - 70 = 110).

Front

What is the measure of an angle if its complement is 30 degrees?

Back

The angle measures 60 degrees (90 - 30 = 60).

Front

In triangle XYZ, if angle X is 45 degrees and angle Y is 55 degrees, what is angle Z?

Back

Angle Z is 80 degrees (180 - 45 - 55 = 80).