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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 218 · 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 62° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 61° and 119° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 62° and 28° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.What is the complement of 79° (in degrees)?
  7. 7.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)?
  8. 8.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  9. 9.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.What is the supplement of 58° (in degrees)?
  11. 11.What is the complement of 18° (in degrees)?
  12. 12.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  14. 14.Are 12° and 168° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.What is the supplement of 148° (in degrees)?
  16. 16.What is the supplement of 19° (in degrees)?
  17. 17.Are 34° and 56° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Are 70° and 110° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.What is the complement of 45° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 75° (in degrees)?
  25. 25.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 5° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the supplement of 81° (in degrees)?
  35. 35.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 80° and 10° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the supplement of 56° (in degrees)?
  39. 39.What is the supplement of 114° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 76
  2. 99
  3. Supplementary
  4. 73
  5. Complementary
  6. 11
  7. 142
  8. 151
  9. Complementary
  10. 122
  11. 72
  12. 113
  13. 76
  14. Supplementary
  15. 32
  16. 161
  17. Complementary
  18. 44
  19. Supplementary
  20. 45
  21. 47
  22. 92
  23. 55
  24. 15
  25. 64
  26. Complementary
  27. 58
  28. 130
  29. 41
  30. 81
  31. 150
  32. 175
  33. 117
  34. 99
  35. 101
  36. Complementary
  37. 89
  38. 124
  39. 66
  40. 89

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