Triangle sum and 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

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 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

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

Back

Subtract the sum of the known angles from 180 degrees.

Front

If angle A is 28 degrees and angle B is 132 degrees, what is angle C?

Back

Angle C is 20 degrees (180 - 28 - 132 = 20).

Front

What is the relationship between an exterior angle and its adjacent interior angle?

Back

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

Front

In a triangle, if angle A = 60 degrees and angle B = 50 degrees, what is angle C?

Back

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

Front

What is the measure of an angle that is supplementary to a 34-degree angle?

Back

The supplementary angle is 146 degrees (180 - 34 = 146).

Front

If angle D is 120 degrees, what are the measures of angles that can be added to equal angle D?

Back

Angles that can be added to equal angle D must sum to 120 degrees.

Front

What is the measure of angle 3 if angle 1 = 58 degrees and angle 2 = 62 degrees?

Back

Angle 3 is 58 degrees (since angle 1 + angle 2 = 120 degrees, angle 3 = 180 - 120 = 60 degrees).