Angle Bisector/Angle Addition Postulate Review

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is the Angle Addition Postulate?

Back

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then m∠AOB + m∠BOC = m∠AOC.

Front

If two angles are supplementary, what is their sum?

Back

The sum of two supplementary angles is 180 degrees.

Front

If two angles are complementary, what is their sum?

Back

The sum of two complementary angles is 90 degrees.

Front

Given m∠A = 40°, what is m∠B if A and B are complementary?

Back

m∠B = 50° (since 90° - 40° = 50°).

Front

Given m∠C = 120°, what is m∠D if C and D are supplementary?

Back

m∠D = 60° (since 180° - 120° = 60°).

Front

If RS = 6 and TR = 4.5, what is TS if R is between S and T?

Back

TS = 10.5 (since TS = RS + TR = 6 + 4.5).

Front

What is the measure of an angle that is supplementary to a 75° angle?

Back

The measure is 105° (since 180° - 75° = 105°).

Front

What is the measure of an angle that is complementary to a 30° angle?

Back

The measure is 60° (since 90° - 30° = 60°).

Front

If m∠GHK = 80.5°, what is m∠KHJ if they are both angles formed by an angle bisector?

Back

m∠KHJ = 80.5° (since the angle bisector divides the angle into two equal parts).