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Angles formed by parallel lines and a transversal

Year 9 maths · 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 63°. What is the measure of an angle that is on a straight line with it?
  2. Two parallel lines are cut by a transversal. One angle measures 35°. 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 120°. What is the measure of an angle that is its co-interior (same-side interior) angle?
  4. Two parallel lines are cut by a transversal. One angle measures 99°. What is the measure of an angle that is on a straight line with it?
  5. Two parallel lines are cut by a transversal. One angle measures 112°. 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 47°. What is the measure of an angle that is on a straight line with it?
  7. Two parallel lines are cut by a transversal. One angle measures 152°. What is the measure of an angle that is its co-interior (same-side interior) angle?
  8. Two parallel lines are cut by a transversal. One angle measures 40°. What is the measure of an angle that is its corresponding angle?
  9. 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?
  10. Two parallel lines are cut by a transversal. One angle measures 23°. What is the measure of an angle that is on a straight line with it?
  11. Two parallel lines are cut by a transversal. One angle measures 37°. What is the measure of an angle that is its vertical (opposite) angle?
  12. Two parallel lines are cut by a transversal. One angle measures 107°. What is the measure of an angle that is its corresponding angle?
  13. Two parallel lines are cut by a transversal. One angle measures 128°. 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 89°. What is the measure of an angle that is its corresponding angle?
  15. Two parallel lines are cut by a transversal. One angle measures 108°. What is the measure of an angle that is its co-interior (same-side interior) angle?
  16. Two parallel lines are cut by a transversal. One angle measures 27°. What is the measure of an angle that is its corresponding angle?
  17. Two parallel lines are cut by a transversal. One angle measures 67°. What is the measure of an angle that is its corresponding angle?
  18. 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?
  19. Two parallel lines are cut by a transversal. One angle measures 30°. What is the measure of an angle that is its corresponding angle?
  20. Two parallel lines are cut by a transversal. One angle measures 93°. What is the measure of an angle that is its vertical (opposite) angle?
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Answer key: Angles formed by parallel lines and a transversal

  1. 117
  2. 35
  3. 60
  4. 81
  5. 112
  6. 133
  7. 28
  8. 40
  9. 104
  10. 157
  11. 37
  12. 107
  13. 128
  14. 89
  15. 72
  16. 27
  17. 67
  18. 166
  19. 30
  20. 93