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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 327 · 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 57° and 33° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  2. 2.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 59° (in degrees)?
  4. 4.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the supplement of 113° (in degrees)?
  7. 7.What is the complement of 31° (in degrees)?
  8. 8.What is the supplement of 172° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  10. 10.What is the supplement of 117° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two angles are supplementary. One is 10° 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 154°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the supplement of 53° (in degrees)?
  15. 15.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 37° (in degrees)?
  17. 17.What is the complement of 77° (in degrees)?
  18. 18.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 132° (in degrees)?
  20. 20.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 27° (in degrees)?
  22. 22.Are 34° and 158° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.What is the supplement of 93° (in degrees)?
  24. 24.What is the supplement of 129° (in degrees)?
  25. 25.What is the supplement of 77° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  27. 27.What is the complement of 22° (in degrees)?
  28. 28.What is the supplement of 40° (in degrees)?
  29. 29.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 51° and 129° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the supplement of 157° (in degrees)?
  34. 34.What is the complement of 53° (in degrees)?
  35. 35.What is the supplement of 138° (in degrees)?
  36. 36.Are 59° and 31° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.What is the supplement of 160° (in degrees)?
  38. 38.What is the supplement of 141° (in degrees)?
  39. 39.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?

Answer key

  1. Complementary
  2. 78
  3. 31
  4. 66
  5. 58
  6. 67
  7. 59
  8. 8
  9. 111
  10. 63
  11. 86
  12. 95
  13. 154
  14. 127
  15. 152
  16. 53
  17. 13
  18. 49
  19. 48
  20. 67
  21. 153
  22. Neither
  23. 87
  24. 51
  25. 103
  26. 31
  27. 68
  28. 140
  29. 76
  30. Supplementary
  31. 119
  32. 60
  33. 23
  34. 37
  35. 42
  36. Complementary
  37. 20
  38. 39
  39. 159
  40. 52

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