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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 478 · 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 68° and 22° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  2. 2.Are 13° and 167° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Are 26° and 169° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.What is the complement of 52° (in degrees)?
  5. 5.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 5° (in degrees)?
  7. 7.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the complement of 16° (in degrees)?
  13. 13.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.What is the complement of 44° (in degrees)?
  15. 15.What is the complement of 8° (in degrees)?
  16. 16.What is the supplement of 168° (in degrees)?
  17. 17.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 124° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 171° (in degrees)?
  23. 23.Are 28° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.What is the complement of 37° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.What is the supplement of 160° (in degrees)?
  29. 29.What is the supplement of 90° (in degrees)?
  30. 30.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 36° and 54° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Are 38° and 52° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 34° (in degrees)?
  35. 35.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  37. 37.What is the complement of 56° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 53° (in degrees)?
  40. 40.Are 23° and 87° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. Complementary
  2. Supplementary
  3. Neither
  4. 38
  5. 69
  6. 85
  7. 120
  8. 140
  9. 54
  10. 108
  11. 132
  12. 74
  13. Supplementary
  14. 46
  15. 82
  16. 12
  17. 136
  18. 138
  19. 56
  20. 105
  21. 71
  22. 9
  23. Supplementary
  24. 53
  25. 145
  26. 57
  27. Supplementary
  28. 20
  29. 90
  30. 105
  31. Complementary
  32. Complementary
  33. 120
  34. 146
  35. 55
  36. 133
  37. 34
  38. 149
  39. 37
  40. Neither

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