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Solve for x: equal angles at a transversal

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Write an equation from the angle relationship: equal angles are set equal, co-interior angles add to 180°. Then solve for x.

  1. Two parallel lines are cut by a transversal. Two alternate interior angles measure (x + 11)° and (2x + 5)°. Find x.
  2. Two parallel lines are cut by a transversal. Two corresponding angles measure (3x − 10)° and (2x + 6)°. Find x.
  3. Two parallel lines are cut by a transversal. Two alternate interior angles measure (4x)° and (3x + 16)°. Find x.
  4. Two parallel lines are cut by a transversal. Two alternate interior angles measure (x − 1)° and (3x − 39)°. Find x.
  5. Two parallel lines are cut by a transversal. Two alternate interior angles measure (3x − 4)° and (4x − 26)°. Find x.
  6. Two parallel lines are cut by a transversal. Two corresponding angles measure (2x − 9)° and (4x − 57)°. Find x.
  7. Two parallel lines are cut by a transversal. Two alternate interior angles measure (x − 5)° and (3x − 53)°. Find x.
  8. Two parallel lines are cut by a transversal. Two corresponding angles measure (x)° and (3x − 28)°. Find x.
  9. Two parallel lines are cut by a transversal. Two alternate interior angles measure (x + 2)° and (4x − 55)°. Find x.
  10. Two parallel lines are cut by a transversal. Two corresponding angles measure (x + 17)° and (3x − 5)°. Find x.
  11. Two parallel lines are cut by a transversal. Two alternate interior angles measure (x + 13)° and (2x − 15)°. Find x.
  12. Two parallel lines are cut by a transversal. Two corresponding angles measure (4x − 9)° and (3x)°. Find x.
  13. Two parallel lines are cut by a transversal. Two corresponding angles measure (3x − 1)° and (4x − 39)°. Find x.
  14. Two parallel lines are cut by a transversal. Two alternate interior angles measure (4x − 5)° and (3x + 2)°. Find x.
  15. Two parallel lines are cut by a transversal. Two alternate interior angles measure (2x + 9)° and (x + 17)°. Find x.
  16. Two parallel lines are cut by a transversal. Two alternate interior angles measure (3x + 17)° and (2x + 32)°. Find x.
  17. Two parallel lines are cut by a transversal. Two alternate interior angles measure (4x + 20)° and (3x + 56)°. Find x.
  18. Two parallel lines are cut by a transversal. Two corresponding angles measure (x − 3)° and (4x − 30)°. Find x.
  19. Two parallel lines are cut by a transversal. Two alternate interior angles measure (4x + 8)° and (2x + 18)°. Find x.
  20. Two parallel lines are cut by a transversal. Two corresponding angles measure (x − 6)° and (2x − 34)°. Find x.
More free practice: fieldbooklearning.com/ca/practice/grade-8/solve-for-x-equal-angles-at-a-transversal/

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Answer key: Solve for x: equal angles at a transversal

  1. 6
  2. 16
  3. 16
  4. 19
  5. 22
  6. 24
  7. 24
  8. 14
  9. 19
  10. 11
  11. 28
  12. 9
  13. 38
  14. 7
  15. 8
  16. 15
  17. 36
  18. 9
  19. 5
  20. 28