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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 207 · 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 85° (in degrees)?
  2. 2.What is the supplement of 127° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  4. 4.What is the supplement of 154° (in degrees)?
  5. 5.Are 49° and 41° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two straight lines cross each other. One of the angles formed is 122°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.What is the supplement of 84° (in degrees)?
  12. 12.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 68° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 76°. What is its corresponding angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the supplement of 169° (in degrees)?
  17. 17.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 25° (in degrees)?
  20. 20.What is the complement of 65° (in degrees)?
  21. 21.What is the supplement of 144° (in degrees)?
  22. 22.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 106° (in degrees)?
  24. 24.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 36° and 92° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  28. 28.Are 54° and 153° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the supplement of 21° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  32. 32.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 60° (in degrees)?
  34. 34.Are 11° and 104° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.What is the supplement of 159° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 75° and 15° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Are 28° and 62° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 5
  2. 53
  3. 111
  4. 26
  5. Complementary
  6. 58
  7. 73
  8. 86
  9. 84
  10. 60
  11. 96
  12. 47
  13. 22
  14. 76
  15. 60
  16. 11
  17. 128
  18. 122
  19. 155
  20. 25
  21. 36
  22. 123
  23. 74
  24. 154
  25. Neither
  26. 87
  27. 109
  28. Neither
  29. 86
  30. 159
  31. 144
  32. 73
  33. 120
  34. Neither
  35. 21
  36. 74
  37. 147
  38. Complementary
  39. Complementary
  40. 59

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