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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 349 · 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 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)?
  2. 2.What is the complement of 17° (in degrees)?
  3. 3.What is the supplement of 113° (in degrees)?
  4. 4.What is the supplement of 120° (in degrees)?
  5. 5.What is the complement of 67° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  7. 7.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 12° (in degrees)?
  10. 10.Are 64° and 115° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the supplement of 93° (in degrees)?
  12. 12.Are 67° and 113° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  14. 14.Are 55° and 125° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 115°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  19. 19.What is the supplement of 119° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 73° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 28° and 62° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 170° (in degrees)?
  32. 32.What is the complement of 45° (in degrees)?
  33. 33.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 117° (in degrees)?
  35. 35.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 70° and 168° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.Are 47° and 89° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 6° (in degrees)?
  40. 40.What is the complement of 28° (in degrees)?

Answer key

  1. 146
  2. 73
  3. 67
  4. 60
  5. 23
  6. 91
  7. 57
  8. 50
  9. 78
  10. Neither
  11. 87
  12. Supplementary
  13. 67
  14. Supplementary
  15. 138
  16. 130
  17. 115
  18. 43
  19. 61
  20. 80
  21. 76
  22. 107
  23. 37
  24. 124
  25. Complementary
  26. 111
  27. 66
  28. 72
  29. 145
  30. 147
  31. 10
  32. 45
  33. 160
  34. 63
  35. 70
  36. Neither
  37. Neither
  38. 73
  39. 84
  40. 62

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