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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 15 · 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 108° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 73° (in degrees)?
  3. 3.What is the supplement of 80° (in degrees)?
  4. 4.What is the complement of 41° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the complement of 28° (in degrees)?
  7. 7.Are 38° and 142° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Are 53° and 127° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 54°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  12. 12.What is the complement of 10° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 115°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 71° and 109° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Two straight lines cross each other. One of the angles formed is 114°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 88° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 135° (in degrees)?
  25. 25.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 39° and 141° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 86° (in degrees)?
  29. 29.What is the supplement of 124° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 52° (in degrees)?
  33. 33.Are 18° and 158° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.What is the complement of 66° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 121° (in degrees)?
  39. 39.What is the supplement of 58° (in degrees)?
  40. 40.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 144
  2. 17
  3. 100
  4. 49
  5. 73
  6. 62
  7. Supplementary
  8. Supplementary
  9. 63
  10. 54
  11. 50
  12. 80
  13. 65
  14. Complementary
  15. 76
  16. Supplementary
  17. 50
  18. 38
  19. Complementary
  20. 114
  21. 87
  22. 92
  23. 37
  24. 45
  25. 139
  26. Supplementary
  27. 53
  28. 94
  29. 56
  30. 54
  31. 68
  32. 128
  33. Neither
  34. 24
  35. 73
  36. Supplementary
  37. 121
  38. 59
  39. 122
  40. 77

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