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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 200 · 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 57° (in degrees)?
  2. 2.Are 15° and 165° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.What is the supplement of 77° (in degrees)?
  4. 4.What is the complement of 76° (in degrees)?
  5. 5.What is the complement of 57° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 27° (in degrees)?
  9. 9.Are 15° and 80° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its alternate interior angle (in degrees)?
  13. 13.What is the supplement of 58° (in degrees)?
  14. 14.What is the complement of 36° (in degrees)?
  15. 15.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 19° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 123°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the complement of 54° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 70°. What is its corresponding angle (in degrees)?
  21. 21.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 143° (in degrees)?
  25. 25.Are 42° and 138° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  30. 30.What is the complement of 16° (in degrees)?
  31. 31.Are 23° and 67° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.What is the complement of 40° (in degrees)?
  33. 33.What is the supplement of 76° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 81° (in degrees)?
  37. 37.Are 15° and 75° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the complement of 53° (in degrees)?
  39. 39.What is the complement of 14° (in degrees)?
  40. 40.What is the complement of 61° (in degrees)?

Answer key

  1. 123
  2. Supplementary
  3. 103
  4. 14
  5. 33
  6. 49
  7. 105
  8. 63
  9. Neither
  10. 47
  11. 116
  12. 82
  13. 122
  14. 54
  15. 69
  16. 86
  17. 161
  18. 123
  19. 36
  20. 70
  21. 61
  22. 137
  23. 70
  24. 37
  25. Supplementary
  26. 120
  27. 125
  28. 100
  29. 58
  30. 74
  31. Complementary
  32. 50
  33. 104
  34. 29
  35. 57
  36. 9
  37. Complementary
  38. 37
  39. 76
  40. 29

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