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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 684 · 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 20° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 7° (in degrees)?
  3. 3.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 78° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.What is the supplement of 23° (in degrees)?
  7. 7.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 15° (in degrees)?
  10. 10.Are 11° and 79° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Two straight lines cross each other. One of the angles formed is 85°. What is the angle next to it on the same line (in degrees)?
  12. 12.Are 41° and 49° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.What is the supplement of 114° (in degrees)?
  14. 14.What is the complement of 78° (in degrees)?
  15. 15.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Two straight lines cross each other. One of the angles formed is 160°. What is the angle next to it on the same line (in degrees)?
  17. 17.Are 38° and 142° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.What is the supplement of 157° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  20. 20.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 48° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 38° (in degrees)?
  24. 24.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
  27. 27.What is the complement of 22° (in degrees)?
  28. 28.What is the supplement of 54° (in degrees)?
  29. 29.Are 57° and 9° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 47° and 43° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Are 74° and 16° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.What is the supplement of 35° (in degrees)?
  35. 35.Are 63° and 27° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 79° (in degrees)?
  39. 39.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 67° (in degrees)?

Answer key

  1. 55
  2. 83
  3. 79
  4. 99
  5. Complementary
  6. 157
  7. 126
  8. 154
  9. 75
  10. Complementary
  11. 95
  12. Complementary
  13. 66
  14. 12
  15. Complementary
  16. 20
  17. Supplementary
  18. 23
  19. 40
  20. 153
  21. 42
  22. 89
  23. 52
  24. 52
  25. 27
  26. 39
  27. 68
  28. 126
  29. Neither
  30. 57
  31. Complementary
  32. Supplementary
  33. Complementary
  34. 145
  35. Complementary
  36. 54
  37. 129
  38. 101
  39. 48
  40. 113

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