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Worksheet: Vertically Opposite Angles

Practice questions about vertically opposite angles’ relationship in this worksheet. You will find questions that evaluate your ability to detect two vertically opposite angles and to conclude that they have equal measures.

Q1:

Which of the following statements is always true of vertically opposite angles?

  • AVertically opposite angles are supplementary.
  • BVertically opposite angles are complementary.
  • CVertically opposite angles sum to .
  • DVertically opposite angles are equal.
  • EVertically opposite angles sum to .

Q2:

If two angles are vertically opposite, then they have a common .

  • Avertex and side
  • Bside
  • Cvertex

Q3:

If two angles are vertically opposite, are they equal in size?

  • Ayes
  • Bno

Q4:

The two angles and are called angles.

  • A alternate
  • B adjacent
  • C corresponding
  • D vertically opposite

Q5:

Determine .

Q6:

Determine .

Q7:

The given figure shows two intersecting straight lines. Find the value of .

Q8:

The given figure shows two intersecting straight lines. Find the value of .

Q9:

Given that lines and intersect at , find .

  • A
  • B
  • C
  • D

Q10:

Given that lines and intersect at , find .

  • A
  • B
  • C
  • D

Q11:

In the figure, lines and intersect at . What is ?

  • A
  • B
  • C
  • D

Q12:

Find the value of .

  • A38
  • B106
  • C36
  • D70

Q13:

Find the value of .

  • A34
  • B114
  • C32
  • D82