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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 7 · 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.Are 67° and 23° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.Are 45° and 135° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.Are 69° and 21° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Are 28° and 6° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.What is the complement of 53° (in degrees)?
  6. 6.What is the supplement of 39° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 41° (in degrees)?
  10. 10.What is the complement of 22° (in degrees)?
  11. 11.What is the supplement of 10° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Are 58° and 121° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  18. 18.What is the complement of 10° (in degrees)?
  19. 19.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 46° and 134° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.Are 71° and 19° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the complement of 63° (in degrees)?
  25. 25.What is the supplement of 92° (in degrees)?
  26. 26.What is the complement of 73° (in degrees)?
  27. 27.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 46° (in degrees)?
  29. 29.What is the complement of 60° (in degrees)?
  30. 30.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  33. 33.Are 23° and 67° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.What is the supplement of 82° (in degrees)?
  35. 35.What is the supplement of 14° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?
  37. 37.What is the supplement of 156° (in degrees)?
  38. 38.What is the supplement of 31° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its alternate interior angle (in degrees)?
  40. 40.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Complementary
  2. Supplementary
  3. Complementary
  4. Neither
  5. 37
  6. 141
  7. 55
  8. 100
  9. 139
  10. 68
  11. 170
  12. 160
  13. 104
  14. 45
  15. Neither
  16. 54
  17. 120
  18. 80
  19. 91
  20. 60
  21. Supplementary
  22. Complementary
  23. 134
  24. 27
  25. 88
  26. 17
  27. 61
  28. 44
  29. 30
  30. 59
  31. 75
  32. 22
  33. Complementary
  34. 98
  35. 166
  36. 91
  37. 24
  38. 149
  39. 84
  40. 49

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