Lesson Worksheet: Proving Angle Relationships Mathematics

In this worksheet, we will practice writing proofs involving complementary, supplementary, conjugate, and right angles.

Q1:

Which of the following angles forms a straight line when combined with this angle?

  • A
  • B
  • C
  • D
  • E

Q2:

What is the measure of the missing angle?

Q3:

What is the measure of the missing angle?

Q4:

In the given figure, Osama stated that 𝑥 is an obtuse angle measuring 105, and Bandar stated that 𝑥 is an acute angle measuring 75. Determine which of the two is correct without using a protractor.

  • AOsama
  • BBandar

Q5:

Hassan and Faisal are trying to find the missing angle that would make a straight line when combined with the given angle. Hassan says that the angle will be 154 and Faisal says that the angle will be 144. Who is right?

  • AFaisal
  • BHassan

Q6:

Which of the following angles forms a straight line when combined with this angle?

  • A
  • B
  • C
  • D
  • E

Q7:

What is the measure of the missing angle?

Q8:

Are 𝐶𝐴 and 𝐶𝐵 on the same straight line?

  • ANo
  • BYes

Q9:

While hiking, a group of boy scouts came across a level ground suitable for setting up their tent as shown. If 𝑚1=118, find 𝑚2.

Q10:

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

  • Aneither
  • Bcomplementary
  • Csupplementary
  • Dvertical

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