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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 105 · 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 41°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 64° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.What is the complement of 72° (in degrees)?
  4. 4.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Are 14° and 76° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.What is the supplement of 166° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 136°. What is its corresponding angle (in degrees)?
  9. 9.What is the supplement of 71° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  11. 11.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 5° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  15. 15.What is the complement of 66° (in degrees)?
  16. 16.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 167° (in degrees)?
  18. 18.What is the complement of 8° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 113°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 85° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the complement of 35° (in degrees)?
  26. 26.What is the supplement of 58° (in degrees)?
  27. 27.What is the complement of 27° (in degrees)?
  28. 28.What is the supplement of 151° (in degrees)?
  29. 29.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 30° and 60° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.What is the complement of 21° (in degrees)?
  32. 32.Are 12° and 33° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 81° (in degrees)?
  35. 35.What is the complement of 67° (in degrees)?
  36. 36.What is the supplement of 175° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  39. 39.What is the complement of 57° (in degrees)?
  40. 40.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 41
  2. Neither
  3. 18
  4. 74
  5. Complementary
  6. Complementary
  7. 14
  8. 136
  9. 109
  10. 44
  11. 129
  12. 85
  13. 82
  14. 117
  15. 24
  16. 152
  17. 13
  18. 82
  19. 67
  20. 76
  21. 47
  22. 51
  23. 5
  24. 53
  25. 55
  26. 122
  27. 63
  28. 29
  29. 56
  30. Complementary
  31. 69
  32. Neither
  33. 59
  34. 9
  35. 23
  36. 5
  37. 59
  38. 31
  39. 33
  40. 53

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