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Worksheet: Complementary and Supplementary Angles

Q1:

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

  • Acomplementary
  • Bsupplementary
  • Cneither supplementary nor complementary

Q2:

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

  • Aneither supplementary nor complementary
  • Bcomplementary
  • Csupplementary

Q3:

In the figure . If , what are and ?

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q4:

In the given diagram, 𝐴 𝐡 is a straight line. Answer the following questions.

Form an equation that will allow you to calculate π‘₯ .

  • A 3 π‘₯ + 2 = 9 0
  • B 8 π‘₯ + 2 = 1 8 0
  • C 2 π‘₯ + 2 = 1 8 0
  • D 8 π‘₯ + 2 = 9 0
  • E 2 π‘₯ + 2 = 9 0

Find the value of π‘₯ .

  • A π‘₯ = 1 1
  • B π‘₯ = 9 0
  • C π‘₯ = 3 0
  • D π‘₯ = 2 2
  • E π‘₯ = 4 5

Find the value of 𝑦 .

  • A 𝑦 = 3 5 ∘
  • B 𝑦 = 1 5 0 ∘
  • C 𝑦 = 3 0 ∘
  • D 𝑦 = 6 0 ∘
  • E 𝑦 = 5 5 ∘

Q5:

In triangle , lies between and , and is on ray . Determine .

  • A
  • B
  • C
  • D

Q6:

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

  • Ayes
  • Bno

Q7:

Find .

  • A
  • B
  • C
  • D
  • E

Q8:

Are  𝐢 𝐴 and οƒͺ 𝐢 𝐡 on the same straight line?

  • Ano
  • Byes

Q9:

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

  • Asupplementary
  • Bvertical
  • Ccomplementary
  • Dneither

Q10:

Find the value of .

  • A45
  • B22.5
  • C60
  • D15

Q11:

Find the value of .

  • A90
  • B60
  • C72
  • D36

Q12:

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

  • Asupplementary
  • Bvertical
  • Cneither
  • Dcomplementary

Q13:

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

  • Avertical
  • Bcomplementary
  • Cneither
  • Dsupplementary

Q14:

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

  • Avertical
  • Bcomplementary
  • Csupplementary
  • Dneither

Q15:

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

  • A
  • B
  • C

Q16:

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

  • Acomplementary
  • Bvertical
  • Cneither
  • Dsupplementary

Q17:

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

  • Asupplementary
  • Bvertical
  • Ccomplementary
  • Dneither

Q18:

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

  • A
  • B
  • C
  • D

Q19:

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 ∠ 𝐢
  • B π‘š ∠ 𝐴
  • C π‘š ∠ 𝐷

Q20:

Find .

  • A
  • B
  • C
  • D

Q21:

In the given diagram, ∠ 𝐴 𝐡 𝐢 is a right angle and π‘š ∠ 𝐴 𝐡 𝐷 = ( 6 π‘₯ + 1 2 ) ∘ , and π‘š ∠ 𝐷 𝐡 𝐢 = ( 4 π‘₯ + 8 ) ∘ .

Form an equation that will allow you to calculate π‘₯ .

  • A 1 0 π‘₯ + 2 0 = 1 8 0
  • B 2 0 π‘₯ + 4 0 = 9 0
  • C 2 0 π‘₯ + 4 0 = 1 8 0
  • D 1 0 π‘₯ + 2 0 = 9 0
  • E 2 0 π‘₯ + 4 0 = 9 0

Solve for π‘₯ .

  • A π‘₯ = 7
  • B π‘₯ = 1 8
  • C π‘₯ = 1 6
  • D π‘₯ = 4 3
  • E π‘₯ = 9

Q22:

Find the value of π‘₯ .

Q23:

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

  • Aneither
  • Bcomplementary
  • Csupplementary

Q24:

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

  • Aneither
  • Bsupplementary
  • Ccomplementary

Q25:

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

  • Acomplementary
  • Bsupplementary
  • Cneither