Triangle Sum & Exterior Angle Theorem

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

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

State the Exterior Angle Theorem.

Back

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

If one angle of a triangle is 70 degrees and another is 60 degrees, what is the measure of the third angle?

Back

The third angle is 50 degrees, calculated as 180 - (70 + 60).

Front

What type of angle measures exactly 90 degrees?

Back

A right angle measures exactly 90 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 the measure of an exterior angle if the two non-adjacent interior angles are 40 degrees and 50 degrees?

Back

The exterior angle measures 90 degrees, calculated as 40 + 50.

Front

Find the measure of the indicated angle if the other two angles are 45 degrees and 55 degrees.

Back

The indicated angle measures 80 degrees, calculated as 180 - (45 + 55).

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If a triangle has angles measuring 30 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 90 degrees, calculated as 180 - (30 + 60).