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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 458 · 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 35° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 156°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the complement of 28° (in degrees)?
  4. 4.What is the complement of 53° (in degrees)?
  5. 5.Are 49° and 41° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  7. 7.Are 17° and 51° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 52° and 19° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.What is the supplement of 86° (in degrees)?
  13. 13.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 67° (in degrees)?
  16. 16.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.Two angles are complementary. One is 40° 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 130°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  20. 20.What is the supplement of 108° (in degrees)?
  21. 21.Are 15° and 75° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.What is the supplement of 74° (in degrees)?
  23. 23.What is the complement of 49° (in degrees)?
  24. 24.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 18° and 72° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.What is the supplement of 72° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its alternate interior angle (in degrees)?
  29. 29.Are 77° and 25° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 156° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  34. 34.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 35° and 145° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.What is the supplement of 114° (in degrees)?
  37. 37.What is the complement of 29° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 112° (in degrees)?
  40. 40.Are 43° and 132° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 55
  2. 24
  3. 62
  4. 37
  5. Complementary
  6. 49
  7. Neither
  8. 61
  9. 79
  10. 40
  11. Neither
  12. 94
  13. 137
  14. 62
  15. 23
  16. Complementary
  17. 65
  18. 50
  19. 48
  20. 72
  21. Complementary
  22. 106
  23. 41
  24. 113
  25. 142
  26. Complementary
  27. 108
  28. 127
  29. Neither
  30. 152
  31. 71
  32. 24
  33. 72
  34. 119
  35. Supplementary
  36. 66
  37. 61
  38. 160
  39. 68
  40. Neither

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