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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 515 · 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 119° (in degrees)?
  2. 2.What is the complement of 34° (in degrees)?
  3. 3.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 81° (in degrees)?
  5. 5.What is the supplement of 7° (in degrees)?
  6. 6.Are 62° and 89° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  8. 8.What is the complement of 44° (in degrees)?
  9. 9.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 151° (in degrees)?
  12. 12.What is the complement of 21° (in degrees)?
  13. 13.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 33° (in degrees)?
  15. 15.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 54° and 36° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.What is the complement of 30° (in degrees)?
  18. 18.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 66°. What is its corresponding angle (in degrees)?
  21. 21.What is the complement of 11° (in degrees)?
  22. 22.What is the complement of 20° (in degrees)?
  23. 23.Are 49° and 127° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  25. 25.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 25° (in degrees)?
  27. 27.What is the complement of 72° (in degrees)?
  28. 28.What is the complement of 50° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  32. 32.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  35. 35.What is the supplement of 111° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 6° (in degrees)?
  40. 40.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 61
  2. 56
  3. 123
  4. 99
  5. 173
  6. Neither
  7. 115
  8. 46
  9. 140
  10. 83
  11. 29
  12. 69
  13. 51
  14. 57
  15. 56
  16. Complementary
  17. 60
  18. Complementary
  19. 110
  20. 66
  21. 79
  22. 70
  23. Neither
  24. 130
  25. 105
  26. 155
  27. 18
  28. 40
  29. 99
  30. 23
  31. 120
  32. 67
  33. 131
  34. 35
  35. 69
  36. 89
  37. 49
  38. 91
  39. 84
  40. Supplementary

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