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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 352 · 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 28° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 66° (in degrees)?
  3. 3.Are 50° and 130° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One angle is 123°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 35° (in degrees)?
  6. 6.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 31° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Are 15° and 75° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the complement of 12° (in degrees)?
  14. 14.What is the supplement of 90° (in degrees)?
  15. 15.What is the supplement of 87° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  17. 17.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the complement of 5° (in degrees)?
  20. 20.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the complement of 47° (in degrees)?
  23. 23.What is the supplement of 17° (in degrees)?
  24. 24.What is the complement of 33° (in degrees)?
  25. 25.What is the supplement of 89° (in degrees)?
  26. 26.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 30° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  30. 30.Are 51° and 145° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its alternate interior angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the complement of 42° (in degrees)?
  36. 36.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 173° (in degrees)?
  38. 38.What is the complement of 73° (in degrees)?
  39. 39.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 21° (in degrees)?

Answer key

  1. 59
  2. 114
  3. Supplementary
  4. 123
  5. 55
  6. 148
  7. 59
  8. 112
  9. Complementary
  10. Complementary
  11. Supplementary
  12. 135
  13. 78
  14. 90
  15. 93
  16. 62
  17. 56
  18. 117
  19. 85
  20. Complementary
  21. 47
  22. 43
  23. 163
  24. 57
  25. 91
  26. 122
  27. 60
  28. 92
  29. 113
  30. Neither
  31. 46
  32. 46
  33. 71
  34. 62
  35. 48
  36. 69
  37. 7
  38. 17
  39. 74
  40. 69

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