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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.

Question Video: Determining the Sum of Two Given Angles

00:52

Worksheet: Complementary and Supplementary Angles • 20 Questions

Q1:

Which of the following statements is true of supplementary angles?

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

Q2:

Which of the following statements is true of complementary angles?

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

Q3:

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

  • Asupplementary
  • Bneither
  • Ccomplementary

Q4:

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

  • Asupplementary
  • Bneither supplementary nor complementary
  • Ccomplementary

Q5:

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

  • Acomplementary
  • Bsupplementary
  • Cneither supplementary nor complementary

Q6:

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

  • Asupplementary
  • Bcomplementary
  • Cneither

Q7:

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

  • Acomplementary
  • Bsupplementary
  • Cneither

Q8:

If and are both supplementary and congruent, what is ?

  • A
  • B
  • C
  • D

Q9:

If and are both complementary and congruent, what is ?

  • A
  • B
  • C
  • D

Q10:

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

  • Ano
  • Byes

Q11:

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

  • A
  • B
  • C

Q12:

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

  • A
  • B
  • C
  • D

Q13:

What is the supplementary angle to ?

  • A
  • B
  • C
  • D

Q14:

Given that , what is ?

  • A
  • B
  • C
  • D
  • E

Q15:

Find .

  • A
  • B
  • C
  • D

Q16:

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

  • A
  • B
  • C

Q17:

Find the value of .

Q18:

Find the value of .

  • A36
  • B60
  • C72
  • D90

Q19:

If and , find the value of .

Q20:

Determine the values of and .

  • A ,
  • B ,
  • C ,
  • D ,
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