Worksheet: Adjacent Angles

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In this worksheet, we will practice identifying adjacent angles and solving related problems.

Q1:

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

  • Aneither
  • Bsupplementary
  • Cvertical
  • Dcomplementary

Q2:

Which of the following statements applies to the given figure?

  • A∠1 and ∠4 are adjacent angles.
  • B∠2 and ∠3 are vertical angles.
  • C∠3 and ∠4 are vertical angles.
  • D∠2 and ∠3 are corresponding angles.
  • E∠2 and ∠3 are adjacent angles.

Q3:

Determine whether the angles ∠2 and ∠5 are adjacent, vertical, or neither adjacent nor vertical.

  • Aadjacent
  • Bneither adjacent nor vertical
  • Cvertical

Q4:

Determine whether the angles ∠4 and ∠6 are adjacent, vertical, or neither adjacent nor vertical.

  • Avertical
  • Bneither adjacent nor vertical
  • Cadjacent

Q5:

Determine whether the angles ∠3 and ∠4 are adjacent, vertical, or neither adjacent nor vertical.

  • Aneither adjacent nor vertical
  • Badjacent
  • Cvertical

Q6:

Are ∠1 and ∠2 adjacent angles?

  • Ano
  • Byes

Q7:

Are ∠1 and ∠2 adjacent angles?

  • Ano
  • Byes

Q8:

Are ∠1 and ∠2 adjacent angles?

  • Ano
  • Byes

Q9:

Are ∠1 and ∠2 adjacent angles?

  • Ayes
  • Bno

Q10:

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

Q11:

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

Q12:

Determine whether the angles ∠1 and ∠4 are adjacent, vertical, or neither adjacent nor vertical.

  • AVertical
  • BAdjacent
  • CNeither adjacent nor vertical

Q13:

Determine whether the angles ∠5 and ∠6 are adjacent, vertical, or neither adjacent nor vertical.

  • AVertical
  • BAdjacent
  • CNeither adjacent nor vertical

Q14:

From the figure, determine 𝑚∠𝐴𝐸𝐶.

Q15:

Given the following figure, find the value of 𝑥.

Q16:

Find 𝑚∠𝑦 given that 𝑚∠𝑥=29∘ and 𝑚∠𝐴𝐵𝐶=139∘.

Q17:

Use <, =, or > to fill in the blank: 𝑚∠𝑋𝐶𝐵𝑚∠𝐴𝐶𝑌.

  • A<
  • B>
  • C=

Q18:

In the figure below, 𝑚∠𝐵𝐴𝐶=30∘. If 𝐴𝐶 is an angle bisector, what is 𝑚∠𝐵𝐴𝐷?

Q19:

Find 𝑚∠𝑥 if 𝑚∠𝑦=48∘ and 𝑚∠𝐽𝐾𝐿=112∘.

Q20:

If 𝑚∠𝐵𝑀𝐶=2𝑚∠𝐴𝑀𝐵, find 𝑚∠𝐴𝑀𝐷.

Q21:

Are ∠1 and ∠2 adjacent angles?

  • Ano
  • Byes

Q22:

Find the value of 𝑥.

Q23:

In the following figure, find 𝑚∠𝐷𝑂𝐸.

Q24:

∠𝐺, ∠𝐸, and ∠𝐶 are accumulative angles at a point. If 𝑚∠𝐺=55∘ and 𝑚∠𝐸=165∘, find 𝑚∠𝐶.

Q25:

In the figure below, find 𝑚∠𝐷𝑀𝐶.

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