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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 650 · 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.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its alternate interior angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 156°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Are 62° and 28° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.What is the supplement of 79° (in degrees)?
  6. 6.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 28° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the supplement of 50° (in degrees)?
  11. 11.What is the complement of 57° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  14. 14.What is the supplement of 158° (in degrees)?
  15. 15.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)?
  16. 16.What is the complement of 70° (in degrees)?
  17. 17.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 30° and 157° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  20. 20.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 100°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 19° (in degrees)?
  23. 23.Are 35° and 145° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.What is the complement of 66° (in degrees)?
  25. 25.Are 55° and 35° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 29° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the supplement of 144° (in degrees)?
  31. 31.What is the supplement of 35° (in degrees)?
  32. 32.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 53° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 7° (in degrees)?
  36. 36.What is the supplement of 41° (in degrees)?
  37. 37.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  38. 38.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 48° and 42° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 53
  2. 106
  3. 156
  4. Complementary
  5. 101
  6. 123
  7. 62
  8. 152
  9. 34
  10. 130
  11. 33
  12. 73
  13. 43
  14. 22
  15. 39
  16. 20
  17. 100
  18. Neither
  19. 113
  20. 76
  21. 80
  22. 71
  23. Supplementary
  24. 24
  25. Complementary
  26. 151
  27. 61
  28. 128
  29. 46
  30. 36
  31. 145
  32. 105
  33. 127
  34. 130
  35. 83
  36. 139
  37. Complementary
  38. 75
  39. 55
  40. Complementary

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