Worksheet: Complementary and Supplementary Angles

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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

Q2:

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

  • Acomplementary
  • Bsupplementary
  • Cneither supplementary nor complementary

Q3:

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

  • Ayes
  • Bno

Q4:

If ∠ 𝐴 and ∠ 𝐵 are complementary, 𝑚 ∠ 𝐴 = 𝑚 ∠ 𝐶 , and ∠ 𝐷 complements ∠ 𝐶 , which of the following is equal to 𝑚 ∠ 𝐵 ?

  • A 𝑚 ∠ 𝐶
  • B 𝑚 ∠ 𝐴
  • C 𝑚 ∠ 𝐷

Q5:

Find the measure of the angle which supplements the angle measuring 9 9 ∘ .

Q6:

Find 𝑚 ∠ 𝐷 𝐵 𝐶 .

Q7:

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

  • A 1 3 6 ∘
  • B 1 3 4 ∘
  • C 9 1 ∘

Q8:

Find the value of 𝑥 .

Q9:

Find the value of 𝑥 .

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 𝑚 ∠ 𝐵 𝑂 𝐷 .

  • A 1 2 9 ∘
  • B 3 9 ∘
  • C 1 0 2 ∘
  • D 7 8 ∘

Q13:

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

  • A 𝑥 + 𝑦 = 9 0 ∘
  • B 𝑥 + 𝑦 = 2 7 0 ∘
  • C 𝑥 + 𝑦 = 3 6 0 ∘
  • D 𝑥 + 𝑦 = 1 8 0 ∘
  • E 𝑥 + 𝑦 = 1 3 5 ∘

Q14:

Given the following figure, find 𝑚 ∠ 𝐵 𝑂 𝐴 .

Q15:

A pair of supplementary angles are in the ratio of 1 ∶ 9 . What is the smaller angle?

Q16:

What is the supplementary angle to 1 4 7 . 2 1 ∘ ?

  • A 2 3 6 . 7 9 ∘
  • B 3 2 ∘
  • C 3 2 . 3 9 ∘
  • D 3 2 . 7 9 ∘

Q17:

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

Q18:

Given that 𝑚 ∠ 𝐴 𝑂 𝐵 = 7 5 ∘ , what is 𝑚 ∠ 𝐵 𝑂 𝐶 ?

Q19:

You are told that ∠ 𝐻 and ∠ 𝐴 are vertically opposite angles. If 𝑚 ∠ 𝐻 = 9 0 ∘ , what is 𝑚 ∠ 𝐴 ?

Q20:

If ∠ 𝐴 and ∠ 𝐵 are both complementary and congruent, what is 𝑚 ∠ 𝐵 ?

Q21:

Given that ∠ 𝐴 and ∠ 𝐵 are complementary angles, and ∠ 𝐵 and ∠ 𝐶 are supplementary angles. If 𝑚 ∠ 𝐴 = 5 1 ∘ , what is 𝑚 ∠ 𝐶 ?

Q22:

If the measure of ∠ 𝐵 𝐴 𝐶 = 6 1 ∘ , what is the measure of ∠ 𝐵 𝐴 𝐹 ?

Q23:

Determine the values of 𝑥 and 𝑦 .

  • A 𝑥 = 2 8 , 𝑦 = 8 1
  • B 𝑥 = 6 2 , 𝑦 = 3 7
  • C 𝑥 = 8 1 , 𝑦 = 5 3
  • D 𝑥 = 2 8 , 𝑦 = 5 3

Q24:

Which of the following statements is true of complementary angles?

  • AComplementary angles are equal.
  • BComplementary angles sum to 1 8 0 ∘ .
  • CComplementary angles sum to 2 7 0 ∘ .
  • DComplementary angles sum to 9 0 ∘ .
  • EComplementary angles sum to 3 6 0 ∘ .

Q25:

Which of the following statements is true of supplementary angles?

  • ASupplementary angles are equal.
  • BSupplementary angles sum to 9 0 ∘ .
  • CSupplementary angles sum to 2 7 0 ∘ .
  • DSupplementary angles sum to 1 8 0 ∘ .
  • ESupplementary angles sum to 3 6 0 ∘ .

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