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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 845 · 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 75° (in degrees)?
  2. 2.Are 71° and 109° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.What is the supplement of 114° (in degrees)?
  4. 4.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 69° (in degrees)?
  6. 6.What is the supplement of 165° (in degrees)?
  7. 7.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 32° (in degrees)?
  9. 9.What is the complement of 11° (in degrees)?
  10. 10.What is the complement of 5° (in degrees)?
  11. 11.What is the complement of 25° (in degrees)?
  12. 12.What is the supplement of 97° (in degrees)?
  13. 13.What is the complement of 22° (in degrees)?
  14. 14.What is the complement of 16° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  17. 17.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 26° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 46° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 83°. What is the angle next to it on the same line (in degrees)?
  27. 27.Are 28° and 46° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.What is the supplement of 54° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  30. 30.Are 21° and 38° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 116°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 74° and 16° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.What is the complement of 17° (in degrees)?
  37. 37.What is the supplement of 112° (in degrees)?
  38. 38.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 12° and 78° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 15
  2. Supplementary
  3. 66
  4. 104
  5. 21
  6. 15
  7. 46
  8. 58
  9. 79
  10. 85
  11. 65
  12. 83
  13. 68
  14. 74
  15. 45
  16. 112
  17. 80
  18. 93
  19. 64
  20. 43
  21. 44
  22. 54
  23. 58
  24. 151
  25. 57
  26. 97
  27. Neither
  28. 126
  29. 36
  30. Neither
  31. 61
  32. 120
  33. 64
  34. 98
  35. Complementary
  36. 73
  37. 68
  38. 71
  39. Complementary
  40. 111

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