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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 98 · 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.What is the complement of 51° (in degrees)?
  2. 2.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 37° (in degrees)?
  6. 6.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 7° (in degrees)?
  9. 9.What is the supplement of 8° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 58° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 56° (in degrees)?
  14. 14.What is the complement of 85° (in degrees)?
  15. 15.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 27° and 88° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 156° (in degrees)?
  19. 19.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 29° (in degrees)?
  21. 21.Are 31° and 111° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.What is the supplement of 81° (in degrees)?
  23. 23.Are 62° and 28° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Are 37° and 143° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.What is the complement of 34° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the complement of 43° (in degrees)?
  32. 32.What is the complement of 74° (in degrees)?
  33. 33.Are 20° and 107° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 175° (in degrees)?
  36. 36.What is the complement of 46° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the supplement of 115° (in degrees)?
  39. 39.Are 10° and 80° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.What is the complement of 57° (in degrees)?

Answer key

  1. 39
  2. 68
  3. 134
  4. 69
  5. 143
  6. 77
  7. 46
  8. 83
  9. 172
  10. 37
  11. 122
  12. 159
  13. 124
  14. 5
  15. 98
  16. Neither
  17. 110
  18. 24
  19. 58
  20. 61
  21. Neither
  22. 99
  23. Complementary
  24. 118
  25. 47
  26. 103
  27. 78
  28. Supplementary
  29. 56
  30. 105
  31. 47
  32. 16
  33. Neither
  34. 93
  35. 5
  36. 44
  37. 68
  38. 65
  39. Complementary
  40. 33

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