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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 195 · 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 26° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 18° (in degrees)?
  3. 3.What is the complement of 9° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 130° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 8° (in degrees)?
  9. 9.What is the supplement of 48° (in degrees)?
  10. 10.Are 62° and 76° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 16° and 137° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.What is the complement of 38° (in degrees)?
  16. 16.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  18. 18.What is the supplement of 45° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 8° (in degrees)?
  21. 21.Are 12° and 78° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.What is the complement of 32° (in degrees)?
  23. 23.What is the supplement of 114° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 26° (in degrees)?
  26. 26.What is the complement of 6° (in degrees)?
  27. 27.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 105° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 24° (in degrees)?
  32. 32.What is the complement of 30° (in degrees)?
  33. 33.What is the supplement of 70° (in degrees)?
  34. 34.Are 28° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 137° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 75°. What is its corresponding angle (in degrees)?
  39. 39.Are 58° and 96° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.What is the supplement of 60° (in degrees)?

Answer key

  1. 58
  2. 72
  3. 81
  4. 153
  5. 50
  6. 82
  7. 58
  8. 82
  9. 132
  10. Neither
  11. 138
  12. 81
  13. 65
  14. Neither
  15. 52
  16. 157
  17. 143
  18. 135
  19. 24
  20. 172
  21. Complementary
  22. 58
  23. 66
  24. 144
  25. 154
  26. 84
  27. 139
  28. 75
  29. 89
  30. 157
  31. 156
  32. 60
  33. 110
  34. Supplementary
  35. 53
  36. 43
  37. 67
  38. 75
  39. Neither
  40. 120

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