Triangle Sum & Exterior Angle Theorems

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

How do you find the measure of an exterior angle of a triangle?

Back

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

Front

If one angle of a triangle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?

Back

The third angle measures 70 degrees, calculated using the Triangle Sum Theorem (180 - 50 - 60 = 70).

Front

What is the relationship between an exterior angle and the two opposite interior angles?

Back

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

Front

If the exterior angle of a triangle 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 measure of the missing angle in a triangle if the other two angles are 58 degrees and 44 degrees?

Back

The missing angle measures 78 degrees (180 - 58 - 44 = 78).

Front

How can you determine if a triangle is valid based on its angles?

Back

A triangle is valid if the sum of its interior angles equals 180 degrees.

Front

What is the measure of angle A if angle B is 70 degrees and angle C is 80 degrees?

Back

Angle A measures 30 degrees (180 - 70 - 80 = 30).

Front

If angle A is 44 degrees and angle B is 56 degrees, what is angle C?

Back

Angle C measures 80 degrees (180 - 44 - 56 = 80).

Front

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

Back

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