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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 111 · 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 supplement of 167° (in degrees)?
  2. 2.Are 68° and 22° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its alternate interior angle (in degrees)?
  4. 4.Are 19° and 19° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 159°. What is the angle next to it on the same line (in degrees)?
  7. 7.Are 27° and 153° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Are 19° and 71° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 53° and 167° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.What is the complement of 80° (in degrees)?
  13. 13.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 39° (in degrees)?
  15. 15.What is the supplement of 96° (in degrees)?
  16. 16.What is the supplement of 58° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  18. 18.What is the supplement of 11° (in degrees)?
  19. 19.Are 68° and 112° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  21. 21.Are 33° and 147° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Are 57° and 33° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.Are 74° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.What is the supplement of 59° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its alternate interior angle (in degrees)?
  26. 26.What is the complement of 42° (in degrees)?
  27. 27.What is the complement of 34° (in degrees)?
  28. 28.What is the complement of 6° (in degrees)?
  29. 29.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 93°. What is its corresponding angle (in degrees)?
  34. 34.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 17° (in degrees)?
  36. 36.What is the supplement of 20° (in degrees)?
  37. 37.What is the supplement of 35° (in degrees)?
  38. 38.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its alternate interior angle (in degrees)?

Answer key

  1. 13
  2. Complementary
  3. 84
  4. Neither
  5. 136
  6. 21
  7. Supplementary
  8. Complementary
  9. Complementary
  10. 30
  11. Neither
  12. 10
  13. 159
  14. 51
  15. 84
  16. 122
  17. 116
  18. 169
  19. Supplementary
  20. 140
  21. Supplementary
  22. Complementary
  23. Neither
  24. 121
  25. 77
  26. 48
  27. 56
  28. 84
  29. 160
  30. 49
  31. 112
  32. 56
  33. 93
  34. 80
  35. 73
  36. 160
  37. 145
  38. Supplementary
  39. 131
  40. 46

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