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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 45 · 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 complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 53° (in degrees)?
  3. 3.Are 69° and 21° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  4. 4.What is the complement of 44° (in degrees)?
  5. 5.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 42° and 48° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.What is the supplement of 27° (in degrees)?
  8. 8.What is the supplement of 156° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its alternate interior angle (in degrees)?
  10. 10.What is the complement of 14° (in degrees)?
  11. 11.What is the complement of 76° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Are 63° and 27° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 56° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 51° and 129° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Are 43° and 137° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 18° (in degrees)?
  24. 24.What is the supplement of 106° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the supplement of 173° (in degrees)?
  27. 27.What is the complement of 6° (in degrees)?
  28. 28.What is the complement of 58° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 85°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the supplement of 103° (in degrees)?
  31. 31.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 65° and 115° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the supplement of 138° (in degrees)?
  36. 36.Are 65° and 104° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.What is the supplement of 151° (in degrees)?
  38. 38.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the complement of 83° (in degrees)?
  40. 40.Are 40° and 50° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 66
  2. 37
  3. Complementary
  4. 46
  5. 73
  6. Complementary
  7. 153
  8. 24
  9. 142
  10. 76
  11. 14
  12. 104
  13. Complementary
  14. 56
  15. 131
  16. 34
  17. 88
  18. 75
  19. 157
  20. Supplementary
  21. Supplementary
  22. 71
  23. 72
  24. 74
  25. 138
  26. 7
  27. 84
  28. 32
  29. 95
  30. 77
  31. 68
  32. 50
  33. Supplementary
  34. 76
  35. 42
  36. Neither
  37. 29
  38. Supplementary
  39. 7
  40. Complementary

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