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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 769 · 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 angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 72° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 71°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 10° (in degrees)?
  7. 7.What is the supplement of 20° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 75° and 61° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.What is the supplement of 30° (in degrees)?
  12. 12.What is the supplement of 144° (in degrees)?
  13. 13.Are 59° and 167° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Are 52° and 38° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.What is the supplement of 64° (in degrees)?
  16. 16.What is the supplement of 38° (in degrees)?
  17. 17.What is the supplement of 63° (in degrees)?
  18. 18.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 38° and 52° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 118° (in degrees)?
  24. 24.What is the supplement of 57° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  26. 26.What is the complement of 68° (in degrees)?
  27. 27.What is the complement of 26° (in degrees)?
  28. 28.What is the supplement of 124° (in degrees)?
  29. 29.What is the supplement of 48° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 166° (in degrees)?
  32. 32.Are 35° and 55° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Are 73° and 17° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  38. 38.Two angles are complementary. One is 56° 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 37°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 132
  2. 108
  3. 109
  4. 58
  5. 113
  6. 80
  7. 160
  8. 107
  9. 44
  10. Neither
  11. 150
  12. 36
  13. Neither
  14. Complementary
  15. 116
  16. 142
  17. 117
  18. 70
  19. Complementary
  20. Complementary
  21. 49
  22. 65
  23. 62
  24. 123
  25. 67
  26. 22
  27. 64
  28. 56
  29. 132
  30. 33
  31. 14
  32. Complementary
  33. 57
  34. 56
  35. 96
  36. Supplementary
  37. Complementary
  38. 73
  39. 37
  40. 51

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