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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 27 · 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 supplement of 56° (in degrees)?
  2. 2.What is the supplement of 154° (in degrees)?
  3. 3.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  6. 6.What is the complement of 18° (in degrees)?
  7. 7.What is the complement of 67° (in degrees)?
  8. 8.What is the supplement of 72° (in degrees)?
  9. 9.What is the complement of 78° (in degrees)?
  10. 10.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  12. 12.Are 60° and 102° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.What is the supplement of 114° (in degrees)?
  14. 14.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 75°. What is its corresponding angle (in degrees)?
  17. 17.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 110° (in degrees)?
  21. 21.What is the complement of 24° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 19° (in degrees)?
  24. 24.What is the supplement of 107° (in degrees)?
  25. 25.Are 28° and 152° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.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)?
  27. 27.Are 21° and 69° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 52° (in degrees)?
  30. 30.What is the complement of 45° (in degrees)?
  31. 31.Are 80° and 100° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the complement of 66° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the supplement of 145° (in degrees)?
  36. 36.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  38. 38.What is the complement of 68° (in degrees)?
  39. 39.What is the supplement of 174° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 124
  2. 26
  3. 133
  4. 153
  5. 40
  6. 72
  7. 23
  8. 108
  9. 12
  10. 50
  11. 74
  12. Neither
  13. 66
  14. Complementary
  15. 48
  16. 75
  17. 131
  18. 106
  19. 72
  20. 70
  21. 66
  22. 49
  23. 161
  24. 73
  25. Supplementary
  26. 26
  27. Complementary
  28. 78
  29. 38
  30. 45
  31. Supplementary
  32. 24
  33. 62
  34. 62
  35. 35
  36. 69
  37. 121
  38. 22
  39. 6
  40. 97

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