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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 523 · 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.What is the supplement of 45° (in degrees)?
  2. 2.What is the complement of 85° (in degrees)?
  3. 3.What is the supplement of 108° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 66°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 26° (in degrees)?
  7. 7.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 13° (in degrees)?
  13. 13.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 76° (in degrees)?
  16. 16.What is the complement of 36° (in degrees)?
  17. 17.What is the supplement of 42° (in degrees)?
  18. 18.What is the supplement of 165° (in degrees)?
  19. 19.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 20° (in degrees)?
  21. 21.What is the complement of 65° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the supplement of 43° (in degrees)?
  25. 25.What is the complement of 6° (in degrees)?
  26. 26.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  28. 28.Are 75° and 105° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the supplement of 16° (in degrees)?
  30. 30.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 45° and 135° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.Are 62° and 169° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 40° and 50° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.Two parallel lines are cut by a transversal. One angle is 60°. What is its corresponding angle (in degrees)?
  38. 38.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  40. 40.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 135
  2. 5
  3. 72
  4. 150
  5. 66
  6. 64
  7. 53
  8. 52
  9. 122
  10. 126
  11. 24
  12. 77
  13. 137
  14. 64
  15. 14
  16. 54
  17. 138
  18. 15
  19. 113
  20. 70
  21. 25
  22. 152
  23. 60
  24. 137
  25. 84
  26. 77
  27. 114
  28. Supplementary
  29. 164
  30. 48
  31. Supplementary
  32. Neither
  33. 55
  34. 93
  35. 143
  36. Complementary
  37. 60
  38. 73
  39. 58
  40. 91

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