Lesson Worksheet: Angle Relationships Mathematics

In this worksheet, we will practice identifying different types of angles and using relationships between their measures to solve problems.

Q1:

Are 1 and 2 adjacent angles?

  • ANo
  • BYes

Q2:

Find the sum of the two adjacent angles from the given angles in the diagram.

Q3:

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

  • Acomplementary
  • Bneither
  • Cvertical
  • Dsupplementary

Q4:

Given that 𝑚𝐴𝑂𝐵=75, what is 𝑚𝐵𝑂𝐶?

Q5:

Which angle supplements 𝐴𝐹𝐶?

  • A𝐵𝐹𝐸
  • B𝐵𝐹𝐶
  • C𝐵𝐹𝐷

Q6:

A pair of supplementary angles are in the ratio of 19. What is the smaller angle?

Q7:

Determine the values of 𝑥 and 𝑦.

  • A𝑥=62, 𝑦=37
  • B𝑥=81, 𝑦=53
  • C𝑥=28, 𝑦=53
  • D𝑥=28, 𝑦=81

Q8:

What is 𝑚𝑅𝑀𝑆 in the following figure?

Q9:

In the figure, 𝐵𝐷 bisects 𝐴𝐵𝐸. What is 𝑚𝐴𝐵𝐷?

Q10:

In the following figure, find 𝑚𝐷𝑂𝐸.

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