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 90 degrees, what can you say about the other two angles?

Back

The other two angles must sum to 90 degrees, making the triangle a right triangle.

Front

What is the measure of the third angle if two angles of a triangle are 50 degrees and 60 degrees?

Back

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

Front

What is 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 one exterior angle of a triangle is 130 degrees, what is the sum of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 130 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 triangle and a straight line?

Back

The angles on a straight line sum to 180 degrees, which can be used to find unknown angles in triangles.

Front

If angle A is 62 degrees and angle B is 54 degrees, what is angle C?

Back

Angle C is 64 degrees (180 - 62 - 54 = 64).

Front

What is the measure of an angle if it is supplementary to a 96-degree angle?

Back

The angle measures 84 degrees (180 - 96 = 84).

Front

What is the measure of an angle if it is complementary to a 44-degree angle?

Back

The angle measures 46 degrees (90 - 44 = 46).