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

**Q1: **

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

- Aneither
- Bcomplementary
- Csupplementary

**Q3: **

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

- Ayes
- Bno

**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.

- Asupplementary
- Bvertical
- Cneither
- Dcomplementary

**Q11: **

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

- Avertical
- Bcomplementary
- Cneither
- Dsupplementary

**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 are equal.
- BComplementary angles sum to .
- 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 are equal.
- BSupplementary angles sum to .
- CSupplementary angles sum to .
- DSupplementary angles sum to .
- ESupplementary angles sum to .