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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 536 · 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 136° (in degrees)?
  2. 2.Are 46° and 134° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.Two straight lines cross each other. One of the angles formed is 21°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 19° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  10. 10.Are 38° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the supplement of 66° (in degrees)?
  14. 14.What is the supplement of 110° (in degrees)?
  15. 15.What is the supplement of 80° (in degrees)?
  16. 16.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 26° (in degrees)?
  18. 18.What is the complement of 76° (in degrees)?
  19. 19.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 5° (in degrees)?
  21. 21.Are 75° and 15° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.Two straight lines cross each other. One of the angles formed is 156°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 13° (in degrees)?
  26. 26.What is the complement of 48° (in degrees)?
  27. 27.What is the complement of 73° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Are 27° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.What is the supplement of 175° (in degrees)?
  32. 32.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  35. 35.What is the complement of 79° (in degrees)?
  36. 36.What is the supplement of 140° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  38. 38.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Are 36° and 126° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 44
  2. Supplementary
  3. 159
  4. 109
  5. 126
  6. 71
  7. 45
  8. 104
  9. 109
  10. Neither
  11. 84
  12. 107
  13. 114
  14. 70
  15. 100
  16. 141
  17. 154
  18. 14
  19. 80
  20. 85
  21. Complementary
  22. 156
  23. Supplementary
  24. 51
  25. 167
  26. 42
  27. 17
  28. 104
  29. 41
  30. Neither
  31. 5
  32. 59
  33. 98
  34. 31
  35. 11
  36. 40
  37. 86
  38. 134
  39. 82
  40. Neither

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