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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 312 · 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.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.What is the complement of 33° (in degrees)?
  3. 3.What is the complement of 34° (in degrees)?
  4. 4.What is the complement of 15° (in degrees)?
  5. 5.What is the supplement of 81° (in degrees)?
  6. 6.What is the supplement of 146° (in degrees)?
  7. 7.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 95° (in degrees)?
  9. 9.What is the supplement of 105° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 43° (in degrees)?
  12. 12.What is the supplement of 91° (in degrees)?
  13. 13.What is the supplement of 94° (in degrees)?
  14. 14.What is the supplement of 119° (in degrees)?
  15. 15.What is the complement of 85° (in degrees)?
  16. 16.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the supplement of 31° (in degrees)?
  19. 19.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 129° (in degrees)?
  21. 21.What is the supplement of 48° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 151° (in degrees)?
  26. 26.What is the supplement of 46° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  28. 28.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the complement of 64° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 101°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the complement of 53° (in degrees)?
  32. 32.What is the supplement of 87° (in degrees)?
  33. 33.Are 77° and 148° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  34. 34.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the complement of 61° (in degrees)?
  36. 36.What is the complement of 29° (in degrees)?
  37. 37.What is the complement of 21° (in degrees)?
  38. 38.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the complement of 10° (in degrees)?

Answer key

  1. Complementary
  2. 57
  3. 56
  4. 75
  5. 99
  6. 34
  7. 138
  8. 85
  9. 75
  10. 147
  11. 137
  12. 89
  13. 86
  14. 61
  15. 5
  16. 143
  17. 122
  18. 149
  19. 110
  20. 51
  21. 132
  22. 28
  23. 152
  24. 80
  25. 29
  26. 134
  27. 36
  28. Complementary
  29. 26
  30. 79
  31. 37
  32. 93
  33. Neither
  34. 86
  35. 29
  36. 61
  37. 69
  38. 69
  39. 142
  40. 80

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