Worksheet: Angles: Adjacent Angles

In this worksheet, we will practice identifying adjacent angles and solving their 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 𝑚𝐴𝐸𝐶.

Q15:

Given the following figure, find the value of 𝑥.

Q16:

Find 𝑚𝑦 given that 𝑚𝑥=29 and 𝑚𝐴𝐵𝐶=139.

Q17:

Use <, =, or > to fill in the blank: 𝑚𝑋𝐶𝐵𝑚𝐴𝐶𝑌.

  • A <
  • B >
  • C =

Q18:

In the figure below, 𝑚𝐵𝐴𝐶=30. If 𝐴𝐶 is an angle bisector, what is 𝑚𝐵𝐴𝐷?

Q19:

Find 𝑚𝑥 if 𝑚𝑦=48 and 𝑚𝐽𝐾𝐿=112.

Q20:

If 𝑚𝐵𝑀𝐶=2𝑚𝐴𝑀𝐵, find 𝑚𝐴𝑀𝐷.

Q21:

Are 1 and 2 adjacent angles?

  • Ano
  • Byes

Q22:

Find the value of 𝑥.

  • A 1 0 6
  • B 6 1
  • C 6 5
  • D 1 1 9

Q23:

In the following figure, find 𝑚𝐷𝑂𝐸.

Q24:

𝐺 , 𝐸 , and 𝐶 are accumulative angles at a point. If 𝑚𝐺=55 and 𝑚𝐸=165, find 𝑚𝐶.

Q25:

In the figure below, find 𝑚𝐷𝑀𝐶.

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