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Lesson: Complementary and Supplementary Angles

In this lesson, we will learn how to identify supplementary and complementary angles and how to apply these relationships in order to find a missing angle.

Sample Question Videos

00:52

Worksheet • 25 Questions • 1 Video

Q1:

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

  • Acomplementary
  • Bsupplementary
  • Cneither

Q2:

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

  • Asupplementary
  • Bneither supplementary nor complementary
  • Ccomplementary

Q3:

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

  • Ano
  • Byes

Q4:

If ∠ 𝐴 and ∠ 𝐡 are complementary, π‘š ∠ 𝐴 = π‘š ∠ 𝐢 , and ∠ 𝐷 complements ∠ 𝐢 , which of the following is equal to π‘š ∠ 𝐡 ?

  • A π‘š ∠ 𝐴
  • B π‘š ∠ 𝐷
  • C π‘š ∠ 𝐢

Q5:

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

Q6:

Find π‘š ∠ 𝐷 𝐡 𝐢 .

Q7:

Given that the two angles are supplementary, find the value of π‘₯ .

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

Q8:

Find the value of .

  • A73
  • B253
  • C17
  • D93
  • E63

Q9:

Find the value of π‘₯ .

Q10:

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

  • Acomplementary
  • Bvertical
  • Cneither
  • Dsupplementary

Q11:

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

  • Asupplementary
  • Bcomplementary
  • Cneither
  • Dvertical

Q12:

Given the following figure, find π‘š ∠ 𝐡 𝑂 𝐷 .

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

Q13:

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

  • A π‘₯ + 𝑦 = 1 8 0 ∘
  • B π‘₯ + 𝑦 = 1 3 5 ∘
  • C π‘₯ + 𝑦 = 2 7 0 ∘
  • D π‘₯ + 𝑦 = 3 6 0 ∘
  • E π‘₯ + 𝑦 = 9 0 ∘

Q14:

Given the following figure, find π‘š ∠ 𝐡 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 3 2 . 7 9 ∘
  • B 3 2 ∘
  • C 3 2 . 3 9 ∘
  • D 2 3 6 . 7 9 ∘

Q17:

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

Q18:

Given that π‘š ∠ 𝐴 𝑂 𝐡 = 7 5 ∘ , what is π‘š ∠ 𝐡 𝑂 𝐢 ?

Q19:

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

Q20:

If ∠ 𝐴 and ∠ 𝐡 are both complementary and congruent, what is π‘š ∠ 𝐡 ?

Q21:

Given that ∠ 𝐴 and ∠ 𝐡 are complementary angles, and ∠ 𝐡 and ∠ 𝐢 are supplementary angles. If π‘š ∠ 𝐴 = 5 1 ∘ , what is π‘š ∠ 𝐢 ?

Q22:

If the measure of ∠ 𝐡 𝐴 𝐢 = 6 1 ∘ , what is the measure of ∠ 𝐡 𝐴 𝐹 ?

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

Q25:

Which of the following statements is true of supplementary angles?

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