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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 303 · 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.Are 44° and 46° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its alternate interior angle (in degrees)?
  5. 5.What is the complement of 38° (in degrees)?
  6. 6.What is the supplement of 156° (in degrees)?
  7. 7.What is the complement of 61° (in degrees)?
  8. 8.Are 61° and 119° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its alternate interior angle (in degrees)?
  10. 10.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 28° (in degrees)?
  12. 12.What is the complement of 42° (in degrees)?
  13. 13.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  16. 16.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the supplement of 170° (in degrees)?
  20. 20.What is the complement of 47° (in degrees)?
  21. 21.What is the supplement of 33° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 111°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 146° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 151°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its alternate interior angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the supplement of 19° (in degrees)?
  31. 31.Are 69° and 138° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Are 25° and 155° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 136° (in degrees)?
  35. 35.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 82° (in degrees)?
  37. 37.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 141°. What is the angle next to it on the same line (in degrees)?
  39. 39.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. Complementary
  2. 52
  3. 67
  4. 137
  5. 52
  6. 24
  7. 29
  8. Supplementary
  9. 63
  10. 59
  11. 62
  12. 48
  13. 74
  14. 46
  15. 62
  16. 47
  17. 89
  18. 130
  19. 10
  20. 43
  21. 147
  22. 111
  23. 108
  24. 44
  25. 34
  26. 29
  27. 124
  28. 125
  29. 142
  30. 161
  31. Neither
  32. Supplementary
  33. 153
  34. 44
  35. 63
  36. 98
  37. 106
  38. 39
  39. Complementary
  40. 89

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