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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 280 · 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 118° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 46° (in degrees)?
  3. 3.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 29° (in degrees)?
  5. 5.What is the supplement of 93° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its alternate interior angle (in degrees)?
  7. 7.What is the complement of 57° (in degrees)?
  8. 8.What is the supplement of 21° (in degrees)?
  9. 9.What is the supplement of 13° (in degrees)?
  10. 10.What is the complement of 62° (in degrees)?
  11. 11.Are 72° and 108° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  13. 13.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)?
  14. 14.What is the complement of 84° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 144°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the supplement of 28° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 142°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its alternate interior angle (in degrees)?
  20. 20.Are 67° and 5° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.What is the supplement of 96° (in degrees)?
  22. 22.What is the complement of 23° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 22° and 158° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.What is the complement of 74° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 131°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the supplement of 140° (in degrees)?
  31. 31.What is the supplement of 130° (in degrees)?
  32. 32.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 21° (in degrees)?
  34. 34.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 60°. 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 128°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 13° (in degrees)?
  40. 40.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 149
  2. 134
  3. 65
  4. 151
  5. 87
  6. 32
  7. 33
  8. 159
  9. 167
  10. 28
  11. Supplementary
  12. 130
  13. 43
  14. 6
  15. 36
  16. 152
  17. 39
  18. 38
  19. 82
  20. Neither
  21. 84
  22. 67
  23. 62
  24. 134
  25. Supplementary
  26. 16
  27. 49
  28. 81
  29. 66
  30. 40
  31. 50
  32. 67
  33. 69
  34. 142
  35. 91
  36. 120
  37. 128
  38. 47
  39. 77
  40. 75

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