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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 878 · 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 19° (in degrees)?
  2. 2.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 17° (in degrees)?
  4. 4.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)?
  5. 5.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 41° and 139° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 9° (in degrees)?
  9. 9.What is the complement of 5° (in degrees)?
  10. 10.What is the supplement of 88° (in degrees)?
  11. 11.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 69°. What is its corresponding angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the complement of 15° (in degrees)?
  18. 18.What is the complement of 56° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 78°. What is its corresponding angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  22. 22.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.What is the supplement of 16° (in degrees)?
  24. 24.What is the supplement of 169° (in degrees)?
  25. 25.Are 52° and 128° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 58° and 122° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.What is the complement of 42° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the complement of 76° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its alternate interior angle (in degrees)?
  37. 37.What is the complement of 18° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 71
  2. 138
  3. 73
  4. 58
  5. 133
  6. Supplementary
  7. 73
  8. 171
  9. 85
  10. 92
  11. 153
  12. 39
  13. 129
  14. 69
  15. 96
  16. 22
  17. 75
  18. 34
  19. 67
  20. 78
  21. 129
  22. Supplementary
  23. 164
  24. 11
  25. Supplementary
  26. 26
  27. Supplementary
  28. 48
  29. 128
  30. 55
  31. 68
  32. 43
  33. 14
  34. 41
  35. 56
  36. 106
  37. 72
  38. 144
  39. 93
  40. 119

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