Complementary and Supplemental

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

• Definition of Supplementary Angles

• Angle Addition Postulate

• Definition of Right Angle

• Definition of Complementary Angles

Angle 33 and 32 are...

• Supplementary

• Corresponding

• Complementary

• Alternate Interiors

Examine the diagram below. Then use the information provided in the diagram to determine the measures of angles a through g. For each angle, name the angle relationship that helped justify your conclusion.

Select all that apply: Two angles are complementary if

• They are equal

• the sum equal 90

• the sum equal 180

• they are perpendicular

If two angles are complementary, what is the sum of their measures?

• 45 degrees

• 180 degrees

• 60 degrees

• 90 degrees

What are complementary angles?

• Two angles whose sum is 45 degrees.

• Two angles whose sum is 180 degrees.

• Two angles whose sum is 90 degrees.

• Two angles whose sum is 270 degrees.

If angle A is complementary to angle B, and angle B is complementary to angle C, what can you say about angle A and angle C?

• Angle A and angle C are complementary.

• Angle A and angle C are supplementary.

• Angle A and angle C are congruent.

• Angle A and angle C are vertical angles.

If two angles are supplemental, what is the sum of their measures?

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees

If angle X is supplemental to angle Y, and angle Y is supplemental to angle Z, what can you say about angle X and angle Z?

• Angle X and angle Z are complementary to each other.

• Angle X and angle Z are congruent to each other.

• Angle X and angle Z are supplemental to each other.

• Angle X and angle Z are adjacent to each other.

If angle A is complementary to angle B, and angle B is supplemental to angle C, what can you say about angle A and angle C?

• The sum of angle A and angle C is 270 degrees.

• The sum of angle A and angle C is 360 degrees.

• The sum of angle A and angle C is 90 degrees.

• The sum of angle A and angle C is 180 degrees.