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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 682 · 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 supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 17° (in degrees)?
  3. 3.What is the complement of 75° (in degrees)?
  4. 4.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 37° (in degrees)?
  6. 6.What is the supplement of 45° (in degrees)?
  7. 7.What is the complement of 43° (in degrees)?
  8. 8.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 27° (in degrees)?
  10. 10.What is the supplement of 20° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 107° (in degrees)?
  13. 13.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 45° (in degrees)?
  18. 18.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  20. 20.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)?
  21. 21.What is the supplement of 157° (in degrees)?
  22. 22.Are 42° and 138° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.What is the complement of 16° (in degrees)?
  24. 24.What is the supplement of 68° (in degrees)?
  25. 25.What is the supplement of 169° (in degrees)?
  26. 26.Are 37° and 143° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  28. 28.Are 77° and 75° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.What is the supplement of 81° (in degrees)?
  30. 30.What is the complement of 11° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 149° (in degrees)?
  34. 34.What is the complement of 79° (in degrees)?
  35. 35.What is the supplement of 61° (in degrees)?
  36. 36.What is the complement of 42° (in degrees)?
  37. 37.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 35° (in degrees)?
  39. 39.Are 58° and 32° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 121
  2. 163
  3. 15
  4. 46
  5. 53
  6. 135
  7. 47
  8. 150
  9. 153
  10. 160
  11. 31
  12. 73
  13. 66
  14. 103
  15. 122
  16. 59
  17. 45
  18. 143
  19. 22
  20. 102
  21. 23
  22. Supplementary
  23. 74
  24. 112
  25. 11
  26. Supplementary
  27. 115
  28. Neither
  29. 99
  30. 79
  31. 122
  32. 111
  33. 31
  34. 11
  35. 119
  36. 48
  37. 62
  38. 55
  39. Complementary
  40. 148

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