Lesson Worksheet: Angle Relationships Mathematics

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

Q1:

In the following figure, find 𝑚∠𝐷𝑂𝐸.

Q2:

In the figure, 𝐵𝐷 bisects ∠𝐴𝐵𝐸. What is 𝑚∠𝐴𝐵𝐷?

Q3:

What is 𝑚∠𝑅𝑀𝑆 in the following figure?

Q4:

Determine the values of 𝑥 and 𝑦.

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

Q5:

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

Q6:

Which angle supplements ∠𝐴𝐹𝐶?

  • A∠𝐵𝐹𝐸
  • B∠𝐵𝐹𝐶
  • C∠𝐵𝐹𝐷

Q7:

Given that 𝑚∠𝐴𝑂𝐵=75∘, what is 𝑚∠𝐵𝑂𝐶?

Q8:

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

  • Acomplementary
  • Bneither
  • Cvertical
  • Dsupplementary

Q9:

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

Q10:

Are ∠1 and ∠2 adjacent angles?

  • ANo
  • BYes

This lesson includes 54 additional question variations for subscribers.

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