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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 64 · 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 99° (in degrees)?
  2. 2.What is the supplement of 104° (in degrees)?
  3. 3.Are 29° and 61° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Are 70° and 170° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 159° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?
  8. 8.What is the supplement of 126° (in degrees)?
  9. 9.What is the supplement of 43° (in degrees)?
  10. 10.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 5° (in degrees)?
  12. 12.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 103°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 107° (in degrees)?
  16. 16.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 105° (in degrees)?
  19. 19.What is the supplement of 140° (in degrees)?
  20. 20.What is the supplement of 20° (in degrees)?
  21. 21.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its alternate interior angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  25. 25.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 24° (in degrees)?
  29. 29.What is the supplement of 15° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its alternate interior angle (in degrees)?
  31. 31.What is the complement of 76° (in degrees)?
  32. 32.What is the supplement of 111° (in degrees)?
  33. 33.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Are 15° and 129° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  37. 37.What is the complement of 12° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its alternate interior angle (in degrees)?
  39. 39.What is the complement of 32° (in degrees)?
  40. 40.What is the supplement of 136° (in degrees)?

Answer key

  1. 81
  2. 76
  3. Complementary
  4. Neither
  5. 77
  6. 21
  7. 101
  8. 54
  9. 137
  10. 47
  11. 85
  12. 61
  13. 77
  14. 132
  15. 73
  16. 107
  17. 113
  18. 75
  19. 40
  20. 160
  21. Complementary
  22. 67
  23. 51
  24. 38
  25. 139
  26. 134
  27. 131
  28. 156
  29. 165
  30. 102
  31. 14
  32. 69
  33. Complementary
  34. Neither
  35. 49
  36. 148
  37. 78
  38. 34
  39. 58
  40. 44

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