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Alternate interior angles and parallel lines

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Parallel lines cut by a transversal make equal angles (corresponding, alternate, vertical) and angles that add to 180° (straight line, co-interior).

  1. Two parallel lines are cut by a transversal. One angle measures 76°. What is the measure of an angle that is its alternate interior angle?
  2. Two parallel lines are cut by a transversal. One angle measures 148°. What is the measure of an angle that is its alternate interior angle?
  3. Two parallel lines are cut by a transversal. One angle measures 83°. What is the measure of an angle that is its alternate interior angle?
  4. Two parallel lines are cut by a transversal. One angle measures 121°. What is the measure of an angle that is its alternate interior angle?
  5. Two parallel lines are cut by a transversal. One angle measures 96°. What is the measure of an angle that is its alternate interior angle?
  6. Two parallel lines are cut by a transversal. One angle measures 62°. What is the measure of an angle that is its alternate interior angle?
  7. Two parallel lines are cut by a transversal. One angle measures 39°. What is the measure of an angle that is its alternate interior angle?
  8. Two parallel lines are cut by a transversal. One angle measures 79°. What is the measure of an angle that is its alternate interior angle?
  9. Two parallel lines are cut by a transversal. One angle measures 155°. What is the measure of an angle that is its alternate interior angle?
  10. Two parallel lines are cut by a transversal. One angle measures 114°. What is the measure of an angle that is its alternate interior angle?
  11. Two parallel lines are cut by a transversal. One angle measures 68°. What is the measure of an angle that is its alternate interior angle?
  12. Two parallel lines are cut by a transversal. One angle measures 67°. What is the measure of an angle that is its alternate interior angle?
  13. Two parallel lines are cut by a transversal. One angle measures 116°. What is the measure of an angle that is its alternate interior angle?
  14. Two parallel lines are cut by a transversal. One angle measures 42°. What is the measure of an angle that is its alternate interior angle?
  15. Two parallel lines are cut by a transversal. One angle measures 71°. What is the measure of an angle that is its alternate interior angle?
  16. Two parallel lines are cut by a transversal. One angle measures 129°. What is the measure of an angle that is its alternate interior angle?
  17. Two parallel lines are cut by a transversal. One angle measures 131°. What is the measure of an angle that is its alternate interior angle?
  18. Two parallel lines are cut by a transversal. One angle measures 63°. What is the measure of an angle that is its alternate interior angle?
  19. Two parallel lines are cut by a transversal. One angle measures 166°. What is the measure of an angle that is its alternate interior angle?
  20. Two parallel lines are cut by a transversal. One angle measures 65°. What is the measure of an angle that is its alternate interior angle?
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Answer key: Alternate interior angles and parallel lines

  1. 76
  2. 148
  3. 83
  4. 121
  5. 96
  6. 62
  7. 39
  8. 79
  9. 155
  10. 114
  11. 68
  12. 67
  13. 116
  14. 42
  15. 71
  16. 129
  17. 131
  18. 63
  19. 166
  20. 65