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 the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that 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 angle A is 50 degrees and angle B is 60 degrees, what is angle C?

Back

Angle C = 180 - (50 + 60) = 70 degrees.

Front

What is the measure of an exterior angle if the two non-adjacent interior angles are 40 degrees and 70 degrees?

Back

Exterior angle = 40 + 70 = 110 degrees.

Front

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

Back

You can find the measure of an unknown angle by subtracting the sum of the known angles from 180 degrees.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the sum of the other two angles is 90 degrees.

Front

If one angle of a triangle is 90 degrees and another is 45 degrees, what is the third angle?

Back

The third angle = 180 - (90 + 45) = 45 degrees.

Front

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

Back

The formula is: Sum of angles = 180 degrees.

Front

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

Back

Angle C = 180 - (30 + 30) = 120 degrees.

Front

What is the measure of an exterior angle if the interior angles are 30 degrees and 50 degrees?

Back

Exterior angle = 30 + 50 = 80 degrees.