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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 568 · 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 complement of 66° (in degrees)?
  2. 2.What is the complement of 76° (in degrees)?
  3. 3.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the supplement of 57° (in degrees)?
  9. 9.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  10. 10.Are 27° and 153° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.Two parallel lines are cut by a transversal. One angle is 145°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the complement of 32° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  15. 15.Are 51° and 129° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.What is the supplement of 156° (in degrees)?
  17. 17.Are 43° and 47° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its alternate interior angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.What is the supplement of 118° (in degrees)?
  28. 28.What is the supplement of 174° (in degrees)?
  29. 29.Are 57° and 69° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.Are 61° and 119° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  35. 35.Are 68° and 88° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the supplement of 58° (in degrees)?
  37. 37.What is the complement of 60° (in degrees)?
  38. 38.What is the supplement of 161° (in degrees)?
  39. 39.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 23° (in degrees)?

Answer key

  1. 24
  2. 14
  3. 126
  4. 72
  5. 61
  6. Complementary
  7. 122
  8. 123
  9. 80
  10. Supplementary
  11. 145
  12. 133
  13. 58
  14. 149
  15. Supplementary
  16. 24
  17. Complementary
  18. 69
  19. Supplementary
  20. 24
  21. 48
  22. 69
  23. 147
  24. 78
  25. 63
  26. Supplementary
  27. 62
  28. 6
  29. Neither
  30. Supplementary
  31. 67
  32. 45
  33. 120
  34. 71
  35. Neither
  36. 122
  37. 30
  38. 19
  39. 46
  40. 67

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