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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 136 · 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 32° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 48° (in degrees)?
  6. 6.What is the complement of 41° (in degrees)?
  7. 7.What is the supplement of 96° (in degrees)?
  8. 8.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 136° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 8° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 82° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  18. 18.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 73° (in degrees)?
  20. 20.What is the supplement of 8° (in degrees)?
  21. 21.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 145° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 136°. What is its corresponding angle (in degrees)?
  24. 24.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.What is the complement of 74° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 79° (in degrees)?
  30. 30.What is the complement of 55° (in degrees)?
  31. 31.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 124° (in degrees)?
  33. 33.Are 45° and 135° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  35. 35.What is the supplement of 141° (in degrees)?
  36. 36.What is the supplement of 131° (in degrees)?
  37. 37.What is the supplement of 170° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 58
  2. 156
  3. 57
  4. 66
  5. 42
  6. 49
  7. 84
  8. 72
  9. 44
  10. 41
  11. 82
  12. 102
  13. 52
  14. 91
  15. 77
  16. 98
  17. 128
  18. 118
  19. 17
  20. 172
  21. 62
  22. 35
  23. 136
  24. 110
  25. Supplementary
  26. 16
  27. 26
  28. 141
  29. 11
  30. 35
  31. 131
  32. 56
  33. Supplementary
  34. 134
  35. 39
  36. 49
  37. 10
  38. 87
  39. 146
  40. 139

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