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Alternate exterior 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 86°. What is the measure of an angle that is its alternate exterior angle?
  2. Two parallel lines are cut by a transversal. One angle measures 110°. What is the measure of an angle that is its alternate exterior angle?
  3. Two parallel lines are cut by a transversal. One angle measures 133°. What is the measure of an angle that is its alternate exterior angle?
  4. Two parallel lines are cut by a transversal. One angle measures 77°. What is the measure of an angle that is its alternate exterior angle?
  5. Two parallel lines are cut by a transversal. One angle measures 41°. What is the measure of an angle that is its alternate exterior angle?
  6. Two parallel lines are cut by a transversal. One angle measures 98°. What is the measure of an angle that is its alternate exterior angle?
  7. Two parallel lines are cut by a transversal. One angle measures 68°. What is the measure of an angle that is its alternate exterior angle?
  8. Two parallel lines are cut by a transversal. One angle measures 106°. What is the measure of an angle that is its alternate exterior angle?
  9. Two parallel lines are cut by a transversal. One angle measures 45°. What is the measure of an angle that is its alternate exterior angle?
  10. Two parallel lines are cut by a transversal. One angle measures 83°. What is the measure of an angle that is its alternate exterior angle?
  11. Two parallel lines are cut by a transversal. One angle measures 96°. What is the measure of an angle that is its alternate exterior angle?
  12. Two parallel lines are cut by a transversal. One angle measures 135°. What is the measure of an angle that is its alternate exterior angle?
  13. Two parallel lines are cut by a transversal. One angle measures 78°. What is the measure of an angle that is its alternate exterior angle?
  14. Two parallel lines are cut by a transversal. One angle measures 63°. What is the measure of an angle that is its alternate exterior angle?
  15. Two parallel lines are cut by a transversal. One angle measures 132°. What is the measure of an angle that is its alternate exterior angle?
  16. Two parallel lines are cut by a transversal. One angle measures 104°. What is the measure of an angle that is its alternate exterior angle?
  17. Two parallel lines are cut by a transversal. One angle measures 27°. What is the measure of an angle that is its alternate exterior angle?
  18. Two parallel lines are cut by a transversal. One angle measures 44°. What is the measure of an angle that is its alternate exterior angle?
  19. Two parallel lines are cut by a transversal. One angle measures 163°. What is the measure of an angle that is its alternate exterior angle?
  20. Two parallel lines are cut by a transversal. One angle measures 156°. What is the measure of an angle that is its alternate exterior angle?
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Answer key: Alternate exterior angles and parallel lines

  1. 86
  2. 110
  3. 133
  4. 77
  5. 41
  6. 98
  7. 68
  8. 106
  9. 45
  10. 83
  11. 96
  12. 135
  13. 78
  14. 63
  15. 132
  16. 104
  17. 27
  18. 44
  19. 163
  20. 156