Exploring Complementary and Supplementary Angles

What is the sum of two complementary angles?

• 360°

• 180°

• 90°

• 45°

If angle A is complementary to angle B, what can we conclude about their sum?

• Their sum is a straight angle.

• Their sum is a right angle.

• Their sum is an obtuse angle.

• Their sum is an acute angle.

In a proof, if angle 1 is complementary to angle 2, what is the first statement?

• Angle 1 is greater than angle 2.

• Angle 1 is supplementary to angle 2.

• Angle 1 is complementary to angle 2.

• Angle 1 is equal to angle 2.

What is the final conclusion if two rays form a right angle?

• The rays are parallel.

• The rays are perpendicular.

• The rays are supplementary.

• The rays are equal.

What is the reason for the statement 'angle ABC is a right angle' in a proof involving complementary angles?

• Given

• Assumed from the diagram

• Definition of supplementary angles

• Definition of complementary angles

What is the definition of supplementary angles?

• Two angles whose sum is 180°.

• Two angles whose sum is 45°.

• Two angles whose sum is 90°.

• Two angles whose sum is 360°.

What is the sum of two supplementary angles?

• 45°

• 90°

• 180°

• 360°

If angle PQR is a straight angle, what can we infer about angles 1 and 2 that make up angle PQR?

• They are complementary.

• They are right angles.

• They are supplementary.

• They are equal.

In a proof, if given a diagram showing a straight angle, what is typically the next statement?

• The angles are right angles.

• The angles are complementary.

• The angles are supplementary.

• The angles are equal.

What should you be able to do after understanding complementary and supplementary angles?

• Use them in proofs.

• Ignore them in proofs.

• Only use supplementary angles in proofs.

• Only use complementary angles in proofs.