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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 574 · 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 7° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the complement of 9° (in degrees)?
  4. 4.Are 23° and 143° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.Are 46° and 147° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.What is the complement of 33° (in degrees)?
  7. 7.What is the supplement of 170° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 64°. What is its corresponding angle (in degrees)?
  11. 11.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  12. 12.Are 13° and 167° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  14. 14.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.What is the supplement of 93° (in degrees)?
  16. 16.Are 32° and 58° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  19. 19.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.What is the complement of 82° (in degrees)?
  21. 21.What is the supplement of 133° (in degrees)?
  22. 22.What is the complement of 20° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 133°. What is its corresponding angle (in degrees)?
  24. 24.Are 15° and 55° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  26. 26.Are 76° and 95° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Are 36° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Are 70° and 20° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.What is the complement of 12° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the complement of 44° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 19° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the supplement of 160° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  39. 39.Are 35° and 55° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?

Answer key

  1. 83
  2. 134
  3. 81
  4. Neither
  5. Neither
  6. 57
  7. 10
  8. 62
  9. 136
  10. 64
  11. 105
  12. Supplementary
  13. 113
  14. Supplementary
  15. 87
  16. Complementary
  17. 112
  18. 52
  19. Supplementary
  20. 8
  21. 47
  22. 70
  23. 133
  24. Neither
  25. 35
  26. Neither
  27. Complementary
  28. Complementary
  29. 78
  30. 78
  31. 138
  32. Complementary
  33. 46
  34. 104
  35. 71
  36. 77
  37. 20
  38. 91
  39. Complementary
  40. 144

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