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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 203 · 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 34° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 49° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 17° (in degrees)?
  5. 5.What is the supplement of 153° (in degrees)?
  6. 6.What is the complement of 6° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  8. 8.What is the complement of 72° (in degrees)?
  9. 9.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Are 67° and 23° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Are 73° and 17° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.What is the supplement of 57° (in degrees)?
  13. 13.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 56° (in degrees)?
  15. 15.What is the supplement of 58° (in degrees)?
  16. 16.What is the supplement of 36° (in degrees)?
  17. 17.What is the complement of 69° (in degrees)?
  18. 18.What is the supplement of 105° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  20. 20.Are 44° and 140° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.What is the complement of 82° (in degrees)?
  22. 22.What is the supplement of 27° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  26. 26.Are 44° and 46° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 114°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 10° (in degrees)?
  30. 30.Are 40° and 119° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.What is the complement of 14° (in degrees)?
  32. 32.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 38° and 168° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 96°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 155° (in degrees)?
  39. 39.What is the supplement of 83° (in degrees)?
  40. 40.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)?

Answer key

  1. 62
  2. 131
  3. 109
  4. 73
  5. 27
  6. 84
  7. 120
  8. 18
  9. Complementary
  10. Complementary
  11. Complementary
  12. 123
  13. 51
  14. 124
  15. 122
  16. 144
  17. 21
  18. 75
  19. 121
  20. Neither
  21. 8
  22. 153
  23. 111
  24. 150
  25. 55
  26. Complementary
  27. 98
  28. 66
  29. 80
  30. Neither
  31. 76
  32. 68
  33. Neither
  34. 64
  35. 151
  36. 96
  37. 69
  38. 25
  39. 97
  40. 95

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