Angle Sum Theorem (Triangle interior and exterior)

Front

What is the Angle Sum Theorem for triangles?

Back

The 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 44 degrees and another is 96 degrees, what is the measure of the third angle?

Back

The third angle is 40 degrees (180 - 44 - 96 = 40).

Front

What is an exterior angle of a triangle?

Back

An exterior angle 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 opposite interior angles.

Front

If angle A is 44 degrees and angle B is 96 degrees, what is the measure of the exterior angle at vertex C?

Back

The exterior angle at vertex C is 140 degrees (44 + 96 = 140).

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 angle A is 38 degrees and angle B is 57 degrees, what is angle C in a triangle?

Back

Angle C is 85 degrees (180 - 38 - 57 = 85).

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 the exterior angle is 120 degrees, what are the measures of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 120 degrees.