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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 493 · 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 complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 25° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 170° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the supplement of 114° (in degrees)?
  8. 8.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 22° and 99° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.What is the supplement of 32° (in degrees)?
  11. 11.Are 54° and 126° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.What is the complement of 82° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 74° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  18. 18.Are 24° and 156° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 58° (in degrees)?
  22. 22.Are 60° and 120° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.What is the supplement of 61° (in degrees)?
  24. 24.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)?
  25. 25.What is the supplement of 29° (in degrees)?
  26. 26.Are 38° and 132° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.What is the complement of 32° (in degrees)?
  28. 28.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.What is the complement of 29° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 48° (in degrees)?
  32. 32.What is the supplement of 80° (in degrees)?
  33. 33.What is the complement of 5° (in degrees)?
  34. 34.What is the supplement of 96° (in degrees)?
  35. 35.What is the complement of 54° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 38° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 49
  2. 85
  3. 155
  4. 152
  5. 10
  6. 136
  7. 66
  8. 50
  9. Neither
  10. 148
  11. Supplementary
  12. 8
  13. 110
  14. 84
  15. 113
  16. 16
  17. 116
  18. Supplementary
  19. 119
  20. 128
  21. 32
  22. Supplementary
  23. 119
  24. 156
  25. 151
  26. Neither
  27. 58
  28. Complementary
  29. 61
  30. 69
  31. 132
  32. 100
  33. 85
  34. 84
  35. 36
  36. 67
  37. 66
  38. 93
  39. 142
  40. 63

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