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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 735 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the supplement of 44° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the supplement of 115° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the supplement of 124° (in degrees)?
  9. 9.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 19° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  12. 12.What is the complement of 46° (in degrees)?
  13. 13.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 54°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 20° (in degrees)?
  16. 16.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  18. 18.What is the complement of 6° (in degrees)?
  19. 19.Are 13° and 18° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its alternate interior angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 44°. What is its corresponding angle (in degrees)?
  22. 22.What is the complement of 65° (in degrees)?
  23. 23.What is the complement of 72° (in degrees)?
  24. 24.Are 15° and 75° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 36° and 68° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.Two straight lines cross each other. One of the angles formed is 145°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the complement of 49° (in degrees)?
  31. 31.What is the supplement of 167° (in degrees)?
  32. 32.What is the supplement of 130° (in degrees)?
  33. 33.Are 29° and 80° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 138° (in degrees)?
  36. 36.What is the complement of 63° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  38. 38.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 116
  2. 136
  3. 59
  4. 80
  5. 42
  6. 65
  7. 66
  8. 56
  9. 59
  10. 71
  11. 74
  12. 44
  13. 55
  14. 54
  15. 70
  16. 100
  17. 55
  18. 84
  19. Neither
  20. 135
  21. 44
  22. 25
  23. 18
  24. Complementary
  25. 150
  26. Neither
  27. 35
  28. 45
  29. 48
  30. 41
  31. 13
  32. 50
  33. Neither
  34. 156
  35. 42
  36. 27
  37. 121
  38. 122
  39. 160
  40. 70

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