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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 133 · 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 43° and 137° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.What is the supplement of 43° (in degrees)?
  3. 3.Are 72° and 49° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
  5. 5.Are 48° and 31° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the supplement of 171° (in degrees)?
  8. 8.What is the complement of 46° (in degrees)?
  9. 9.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.What is the complement of 60° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 134°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 57° and 132° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  18. 18.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 125° (in degrees)?
  21. 21.What is the complement of 26° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 68° (in degrees)?
  25. 25.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 56° and 34° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Two straight lines cross each other. One of the angles formed is 160°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  34. 34.Are 12° and 78° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Are 20° and 28° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the complement of 48° (in degrees)?
  37. 37.What is the supplement of 46° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 157°. 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 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the supplement of 70° (in degrees)?

Answer key

  1. Supplementary
  2. 137
  3. Neither
  4. 37
  5. Neither
  6. 58
  7. 9
  8. 44
  9. Complementary
  10. 30
  11. 60
  12. 118
  13. 46
  14. Neither
  15. 106
  16. 41
  17. 51
  18. 157
  19. 91
  20. 55
  21. 64
  22. 92
  23. 71
  24. 112
  25. 144
  26. 51
  27. Complementary
  28. 20
  29. 75
  30. 53
  31. 147
  32. 149
  33. 82
  34. Complementary
  35. Neither
  36. 42
  37. 134
  38. 23
  39. 77
  40. 110

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