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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 115 · 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 supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 10° (in degrees)?
  4. 4.What is the complement of 68° (in degrees)?
  5. 5.What is the supplement of 99° (in degrees)?
  6. 6.What is the supplement of 123° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 17° and 110° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Are 52° and 38° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 48° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 22° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 61° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 24° and 92° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.What is the complement of 80° (in degrees)?
  23. 23.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 133° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 25° and 155° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Are 58° and 122° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the complement of 54° (in degrees)?
  30. 30.What is the supplement of 138° (in degrees)?
  31. 31.What is the supplement of 154° (in degrees)?
  32. 32.What is the complement of 75° (in degrees)?
  33. 33.What is the complement of 41° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.What is the supplement of 89° (in degrees)?
  36. 36.Are 13° and 167° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.What is the supplement of 49° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 29° and 151° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.What is the complement of 78° (in degrees)?

Answer key

  1. 103
  2. 133
  3. 80
  4. 22
  5. 81
  6. 57
  7. 59
  8. Neither
  9. Complementary
  10. 146
  11. 42
  12. 27
  13. 68
  14. 49
  15. 59
  16. 94
  17. 119
  18. 129
  19. 153
  20. 93
  21. Neither
  22. 10
  23. 48
  24. 47
  25. 104
  26. 76
  27. Supplementary
  28. Supplementary
  29. 36
  30. 42
  31. 26
  32. 15
  33. 49
  34. 149
  35. 91
  36. Supplementary
  37. 131
  38. 52
  39. Supplementary
  40. 12

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