Angle Addition

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 the measure of angle AOB plus the measure of angle BOC equals the measure of angle AOC.

Front

If ∠A + ∠B = 90°, what type of angles are ∠A and ∠B?

Back

∠A and ∠B are complementary angles.

Front

If ∠A + ∠B = 180°, what type of angles are ∠A and ∠B?

Back

∠A and ∠B are supplementary angles.

Front

Find the value of ∠C if ∠A = 30° and ∠B = 60°.

Back

∠C = ∠A + ∠B = 30° + 60° = 90°.

Front

What is the measure of an angle that is complementary to a 45° angle?

Back

The measure is 45° because 90° - 45° = 45°.

Front

What is the measure of an angle that is supplementary to a 120° angle?

Back

The measure is 60° because 180° - 120° = 60°.

Front

If ∠X + ∠Y = 180° and ∠X = 70°, what is ∠Y?

Back

∠Y = 180° - 70° = 110°.

Front

What is the relationship between adjacent angles?

Back

Adjacent angles share a common vertex and a common side but do not overlap.

Front

If two angles are vertical angles, what can be said about their measures?

Back

Vertical angles are equal in measure.

Front

What is the sum of the measures of angles around a point?

Back

The sum is 360°.