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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 126 · 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 41° and 49° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 96°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 28° (in degrees)?
  7. 7.What is the supplement of 51° (in degrees)?
  8. 8.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.What is the supplement of 155° (in degrees)?
  15. 15.What is the complement of 80° (in degrees)?
  16. 16.What is the complement of 55° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 30°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Are 34° and 155° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the supplement of 64° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the complement of 24° (in degrees)?
  29. 29.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 20° (in degrees)?
  31. 31.Are 57° and 70° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the supplement of 166° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  34. 34.Are 53° and 37° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 33° (in degrees)?
  37. 37.What is the supplement of 160° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  40. 40.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Complementary
  2. 32
  3. 84
  4. 74
  5. 150
  6. 62
  7. 129
  8. 75
  9. 66
  10. 88
  11. 136
  12. 111
  13. Supplementary
  14. 25
  15. 10
  16. 35
  17. 48
  18. 33
  19. 30
  20. Neither
  21. 66
  22. 149
  23. 46
  24. 122
  25. 52
  26. 116
  27. 20
  28. 66
  29. 48
  30. 70
  31. Neither
  32. 14
  33. 33
  34. Complementary
  35. 24
  36. 57
  37. 20
  38. 52
  39. 60
  40. 68

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