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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 911 · 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 56° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 40° (in degrees)?
  4. 4.What is the complement of 24° (in degrees)?
  5. 5.What is the supplement of 109° (in degrees)?
  6. 6.What is the complement of 15° (in degrees)?
  7. 7.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 52° and 128° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  10. 10.What is the supplement of 5° (in degrees)?
  11. 11.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  13. 13.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the supplement of 38° (in degrees)?
  17. 17.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 129° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 148° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 125° (in degrees)?
  25. 25.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 17° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 136°. What is its corresponding angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 81°. What is its corresponding angle (in degrees)?
  29. 29.What is the complement of 21° (in degrees)?
  30. 30.What is the supplement of 101° (in degrees)?
  31. 31.What is the complement of 19° (in degrees)?
  32. 32.What is the supplement of 93° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Are 11° and 89° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.What is the supplement of 64° (in degrees)?
  37. 37.What is the complement of 52° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 53° (in degrees)?

Answer key

  1. 73
  2. 74
  3. 140
  4. 66
  5. 71
  6. 75
  7. 49
  8. Supplementary
  9. 75
  10. 175
  11. 69
  12. 60
  13. 66
  14. 135
  15. 38
  16. 142
  17. 77
  18. 51
  19. 108
  20. 99
  21. 29
  22. 32
  23. 56
  24. 55
  25. 136
  26. 73
  27. 136
  28. 81
  29. 69
  30. 79
  31. 71
  32. 87
  33. 87
  34. 148
  35. Neither
  36. 116
  37. 38
  38. 107
  39. 121
  40. 37

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