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Solve for x with vertical angles and linear pairs

Year 11 maths · Fieldbook Learning

Name ______________________ Date __________

Vertical angles are equal; a linear pair adds to 180°.

  1. The angles (4x + 27)° and (2x + 71)° are vertical angles. Find x.
  2. The angles (5x)° and (2x + 57)° are vertical angles. Find x.
  3. The angles (4x + 12)° and (5x + 4)° are vertical angles. Find x.
  4. The angles (2x + 13)° and (5x − 71)° are vertical angles. Find x.
  5. The angles (4x + 16)° and (5x − 12)° are vertical angles. Find x.
  6. The angles (x − 4)° and (3x + 96)° form a linear pair. Find x.
  7. The angles (4x − 1)° and (x + 141)° form a linear pair. Find x.
  8. The angles (5x + 19)° and (x + 113)° form a linear pair. Find x.
  9. The angles (3x − 30)° and (4x + 70)° form a linear pair. Find x.
  10. The angles (5x − 7)° and (x + 85)° form a linear pair. Find x.
  11. The angles (x + 20)° and (2x + 4)° are vertical angles. Find x.
  12. The angles (2x + 25)° and (5x − 62)° are vertical angles. Find x.
  13. The angles (4x + 15)° and (5x + 9)° are vertical angles. Find x.
  14. The angles (4x − 29)° and (x + 52)° are vertical angles. Find x.
  15. The angles (5x − 26)° and (4x − 6)° are vertical angles. Find x.
  16. The angles (x + 21)° and (3x + 115)° form a linear pair. Find x.
  17. The angles (x + 11)° and (x + 165)° form a linear pair. Find x.
  18. The angles (3x + 15)° and (x + 65)° form a linear pair. Find x.
  19. The angles (3x − 30)° and (2x + 65)° form a linear pair. Find x.
  20. The angles (5x + 25)° and (x + 119)° form a linear pair. Find x.
More free practice: fieldbooklearning.com/uk/practice/year-11/vertical-angles-and-linear-pairs/

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Answer key: Solve for x with vertical angles and linear pairs

  1. 22
  2. 19
  3. 8
  4. 28
  5. 28
  6. 22
  7. 8
  8. 8
  9. 20
  10. 17
  11. 16
  12. 29
  13. 6
  14. 27
  15. 20
  16. 11
  17. 2
  18. 25
  19. 29
  20. 6