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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 123 · 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 26° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 50° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 44°. What is its corresponding angle (in degrees)?
  5. 5.What is the supplement of 68° (in degrees)?
  6. 6.What is the supplement of 63° (in degrees)?
  7. 7.What is the supplement of 127° (in degrees)?
  8. 8.What is the complement of 59° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
  10. 10.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 5° (in degrees)?
  14. 14.Two angles are supplementary. One is 30° 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 79°. What is its alternate interior angle (in degrees)?
  16. 16.Are 79° and 57° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 9° (in degrees)?
  20. 20.What is the supplement of 138° (in degrees)?
  21. 21.What is the complement of 26° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  24. 24.What is the supplement of 20° (in degrees)?
  25. 25.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.What is the supplement of 15° (in degrees)?
  29. 29.What is the supplement of 72° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 107°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 34° (in degrees)?
  32. 32.What is the supplement of 91° (in degrees)?
  33. 33.What is the complement of 73° (in degrees)?
  34. 34.What is the supplement of 121° (in degrees)?
  35. 35.Are 12° and 91° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.What is the complement of 46° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 54°. 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.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 58
  2. 69
  3. 40
  4. 44
  5. 112
  6. 117
  7. 53
  8. 31
  9. 120
  10. 70
  11. 114
  12. 138
  13. 85
  14. 105
  15. 79
  16. Neither
  17. 65
  18. 52
  19. 81
  20. 42
  21. 64
  22. 20
  23. 49
  24. 160
  25. 68
  26. 73
  27. Supplementary
  28. 165
  29. 108
  30. 107
  31. 146
  32. 89
  33. 17
  34. 59
  35. Neither
  36. 44
  37. 54
  38. 47
  39. 150
  40. 79

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