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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 402 · 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 7° (in degrees)?
  2. 2.What is the supplement of 136° (in degrees)?
  3. 3.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)?
  4. 4.What is the complement of 8° (in degrees)?
  5. 5.What is the complement of 12° (in degrees)?
  6. 6.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.What is the supplement of 114° (in degrees)?
  8. 8.What is the supplement of 118° (in degrees)?
  9. 9.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the complement of 82° (in degrees)?
  11. 11.Are 53° and 127° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  13. 13.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  15. 15.What is the supplement of 65° (in degrees)?
  16. 16.What is the supplement of 146° (in degrees)?
  17. 17.What is the complement of 61° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
  19. 19.Are 73° and 107° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Are 61° and 29° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.What is the supplement of 50° (in degrees)?
  22. 22.What is the complement of 30° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  24. 24.Are 43° and 137° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  25. 25.Are 62° and 28° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.What is the supplement of 26° (in degrees)?
  27. 27.What is the supplement of 115° (in degrees)?
  28. 28.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 60° (in degrees)?
  30. 30.What is the complement of 43° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  33. 33.What is the supplement of 69° (in degrees)?
  34. 34.Are 56° and 34° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.What is the supplement of 120° (in degrees)?
  36. 36.What is the supplement of 32° (in degrees)?
  37. 37.What is the supplement of 12° (in degrees)?
  38. 38.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 83
  2. 44
  3. 58
  4. 82
  5. 78
  6. Complementary
  7. 66
  8. 62
  9. 122
  10. 8
  11. Supplementary
  12. 103
  13. 53
  14. 40
  15. 115
  16. 34
  17. 29
  18. 141
  19. Supplementary
  20. Complementary
  21. 130
  22. 60
  23. 51
  24. Supplementary
  25. Complementary
  26. 154
  27. 65
  28. 68
  29. 30
  30. 47
  31. 67
  32. 85
  33. 111
  34. Complementary
  35. 60
  36. 148
  37. 168
  38. 109
  39. 73
  40. 152

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