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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 677 · 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 24° (in degrees)?
  2. 2.What is the supplement of 77° (in degrees)?
  3. 3.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 44° and 136° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its alternate interior angle (in degrees)?
  6. 6.What is the complement of 57° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  8. 8.What is the complement of 27° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?
  10. 10.What is the supplement of 20° (in degrees)?
  11. 11.What is the complement of 35° (in degrees)?
  12. 12.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 31° and 121° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.Are 38° and 31° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?
  20. 20.Are 15° and 75° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Are 30° and 60° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.Are 52° and 38° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.What is the complement of 49° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the complement of 58° (in degrees)?
  26. 26.Are 14° and 15° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the complement of 52° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 31° (in degrees)?
  32. 32.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 73° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Are 16° and 126° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.What is the complement of 17° (in degrees)?
  37. 37.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 67° (in degrees)?
  40. 40.Are 18° and 72° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 66
  2. 103
  3. 69
  4. Supplementary
  5. 33
  6. 33
  7. 89
  8. 63
  9. 52
  10. 160
  11. 55
  12. 124
  13. 155
  14. Neither
  15. Neither
  16. 26
  17. 136
  18. 126
  19. 103
  20. Complementary
  21. Complementary
  22. Complementary
  23. 41
  24. 104
  25. 32
  26. Neither
  27. 31
  28. 93
  29. 38
  30. 32
  31. 59
  32. 147
  33. 17
  34. 138
  35. Neither
  36. 73
  37. 46
  38. 86
  39. 23
  40. Complementary

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