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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 463 · 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 supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 75° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 127° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  6. 6.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  7. 7.Are 41° and 139° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the supplement of 111° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.What is the supplement of 60° (in degrees)?
  13. 13.What is the complement of 7° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 95° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  19. 19.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are supplementary. One is 68° 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 106°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the supplement of 26° (in degrees)?
  23. 23.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 93° (in degrees)?
  25. 25.What is the supplement of 59° (in degrees)?
  26. 26.What is the complement of 5° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Are 14° and 166° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  32. 32.What is the complement of 25° (in degrees)?
  33. 33.What is the supplement of 153° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the supplement of 114° (in degrees)?
  37. 37.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 79° (in degrees)?
  39. 39.What is the supplement of 14° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 153
  2. 15
  3. 104
  4. 53
  5. 88
  6. 122
  7. Supplementary
  8. 25
  9. 63
  10. 69
  11. 94
  12. 120
  13. 83
  14. 147
  15. 68
  16. 85
  17. 71
  18. 101
  19. 74
  20. 124
  21. 74
  22. 154
  23. 78
  24. 87
  25. 121
  26. 85
  27. 149
  28. 98
  29. 141
  30. Supplementary
  31. 144
  32. 65
  33. 27
  34. 112
  35. 143
  36. 66
  37. 51
  38. 11
  39. 166
  40. 155

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