Triangle Angle Sum and Exterior Angle Theorem

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

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 50 degrees and another is 60 degrees, what is the measure of the third angle?

Back

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

Front

How do you find the measure of an exterior angle if the two non-adjacent interior angles are 40 degrees and 50 degrees?

Back

The exterior angle is 90 degrees (40 + 50 = 90).

Front

What is the relationship between the angles in a triangle?

Back

The angles in a triangle are related such that their sum is always 180 degrees.

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).

Front

What is the formula to calculate the sum of angles in a triangle?

Back

The formula is: Angle A + Angle B + Angle C = 180 degrees.

Front

If an exterior angle measures 120 degrees, what is the sum of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles is 120 degrees.

Front

What is the measure of an exterior angle if one interior angle is 45 degrees and the other is 55 degrees?

Back

The exterior angle measures 100 degrees (45 + 55 = 100).