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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 904 · 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.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 78° (in degrees)?
  4. 4.What is the supplement of 17° (in degrees)?
  5. 5.What is the complement of 62° (in degrees)?
  6. 6.What is the supplement of 130° (in degrees)?
  7. 7.Are 41° and 139° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Are 39° and 141° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the supplement of 40° (in degrees)?
  10. 10.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 23° and 67° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
  15. 15.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 56° and 59° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the complement of 15° (in degrees)?
  18. 18.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 42° (in degrees)?
  20. 20.What is the complement of 21° (in degrees)?
  21. 21.What is the supplement of 30° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 139°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the supplement of 84° (in degrees)?
  24. 24.What is the complement of 38° (in degrees)?
  25. 25.What is the supplement of 75° (in degrees)?
  26. 26.Are 57° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Are 68° and 22° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 9° (in degrees)?
  30. 30.Are 69° and 22° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  34. 34.Are 58° and 154° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Are 53° and 79° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the complement of 85° (in degrees)?
  37. 37.What is the complement of 75° (in degrees)?
  38. 38.Are 77° and 124° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.What is the supplement of 101° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 57
  2. 112
  3. 12
  4. 163
  5. 28
  6. 50
  7. Supplementary
  8. Supplementary
  9. 140
  10. Supplementary
  11. 69
  12. 72
  13. Complementary
  14. 147
  15. 67
  16. Neither
  17. 75
  18. 53
  19. 138
  20. 69
  21. 150
  22. 139
  23. 96
  24. 52
  25. 105
  26. Neither
  27. Complementary
  28. 40
  29. 171
  30. Neither
  31. 109
  32. 65
  33. 115
  34. Neither
  35. Neither
  36. 5
  37. 15
  38. Neither
  39. 79
  40. 142

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