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 30 degrees and another is 70 degrees, what is the measure of the third angle?

Back

The third angle is 80 degrees (180 - 30 - 70 = 80).

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of a triangle and the extension of an adjacent side.

Front

According to the Exterior Angle Theorem, how do you find the measure of an exterior angle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two remote interior angles.

Front

What are remote interior angles?

Back

Remote interior angles are the two interior angles of a triangle that are not adjacent to a given exterior angle.

Front

If angle A is 44 degrees and angle B is 96 degrees, what is angle C?

Back

Angle C is 40 degrees (180 - 44 - 96 = 40).

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

If angle D is an exterior angle measuring 120 degrees, what are the measures of the remote interior angles?

Back

The sum of the remote interior angles is 120 degrees.

Front

What is the measure of an angle if its supplement is 90 degrees?

Back

The angle measures 90 degrees (90 + x = 180).

Front

If angle E is 38 degrees, what is the measure of its complement?

Back

The complement of angle E is 52 degrees (90 - 38 = 52).