# Worksheet: Angles: Complementary and Supplementary

In this worksheet, we will practice identifying complementary and supplementary angles and applying these relationships to find a missing angle.

Q1:

Classify the pair of angles as complementary, supplementary, or neither.

• Asupplementary
• Bneither
• Ccomplementary

Q2:

State whether the given pair of angles is supplementary, complementary, or neither.

• Aneither supplementary nor complementary
• Bcomplementary
• Csupplementary

Q3:

Does every right-angled triangle contain a pair of complementary angles?

• Ano
• Byes

Q4:

If and are complementary, , and complements , which of the following is equal to ?

• A
• B
• C

Q5:

Find the measure of the angle which supplements the angle measuring .

Q6:

Find .

Q7:

Given that the two angles are supplementary, find the value of .

• A
• B
• C

Q8:

Find the value of .

Q9:

Find the value of .

Q10:

Classify the following pair of angles as complementary, supplementary, vertical, or neither.

• Acomplementary
• Bneither
• Cvertical
• Dsupplementary

Q11:

Classify the following pair of angles as complementary, supplementary, vertical, or neither.

• Avertical
• Bsupplementary
• Ccomplementary
• Dneither

Q12:

Given the following figure, find .

• A
• B
• C
• D

Q13:

In the given diagram, and are two adjacent angles that lie on the same line. Find an equation for their sum.

• A
• B
• C
• D
• E

Q14:

Given the following figure, find .

Q15:

A pair of supplementary angles are in the ratio of . What is the smaller angle?

Q16:

What is the supplementary angle to ?

• A
• B
• C
• D

Q17:

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

Q18:

Given that , what is ?

Q19:

You are told that and are vertically opposite angles. If , what is ?

Q20:

If and are both complementary and congruent, what is ?

Q21:

Given that and are complementary angles, and and are supplementary angles. If , what is ?

Q22:

If the measure of , what is the measure of ?

Q23:

Determine the values of and .

• A ,
• B ,
• C ,
• D ,

Q24:

Which of the following statements is true of complementary angles?

• AComplementary angles sum to .
• BComplementary angles are equal.
• CComplementary angles sum to .
• DComplementary angles sum to .
• EComplementary angles sum to .

Q25:

Which of the following statements is true of supplementary angles?

• ASupplementary angles sum to .
• BSupplementary angles sum to .
• CSupplementary angles are equal.
• DSupplementary angles sum to .
• ESupplementary angles sum to .