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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 646 · 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 4° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 59° and 31° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the supplement of 67° (in degrees)?
  4. 4.What is the complement of 75° (in degrees)?
  5. 5.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 70° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 76°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 57° (in degrees)?
  10. 10.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.Are 22° and 114° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 25° (in degrees)?
  15. 15.Are 13° and 167° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.What is the supplement of 18° (in degrees)?
  17. 17.What is the supplement of 91° (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.What is the complement of 19° (in degrees)?
  20. 20.What is the supplement of 41° (in degrees)?
  21. 21.What is the supplement of 88° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 122°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 32° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 56° (in degrees)?
  28. 28.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)?
  29. 29.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 155° (in degrees)?
  31. 31.What is the complement of 68° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 23° (in degrees)?
  37. 37.What is the complement of 16° (in degrees)?
  38. 38.What is the complement of 40° (in degrees)?
  39. 39.What is the complement of 47° (in degrees)?
  40. 40.Are 53° and 41° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 47
  2. Complementary
  3. 113
  4. 15
  5. 113
  6. 110
  7. 104
  8. 154
  9. 123
  10. Complementary
  11. Neither
  12. 54
  13. 69
  14. 65
  15. Supplementary
  16. 162
  17. 89
  18. 38
  19. 71
  20. 139
  21. 92
  22. 80
  23. 50
  24. 58
  25. 58
  26. 91
  27. 124
  28. 95
  29. 98
  30. 25
  31. 22
  32. 55
  33. 143
  34. 108
  35. 99
  36. 67
  37. 74
  38. 50
  39. 43
  40. Neither

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