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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 455 · 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 4° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 61° (in degrees)?
  3. 3.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 21° (in degrees)?
  5. 5.What is the supplement of 159° (in degrees)?
  6. 6.What is the supplement of 50° (in degrees)?
  7. 7.Are 32° and 86° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  9. 9.What is the complement of 74° (in degrees)?
  10. 10.What is the complement of 38° (in degrees)?
  11. 11.Are 61° and 29° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 140° (in degrees)?
  14. 14.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Are 69° and 111° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  21. 21.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 92° (in degrees)?
  24. 24.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 67° (in degrees)?
  26. 26.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are supplementary. One is 68° 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 95°. 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 69°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 13° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  35. 35.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Are 50° and 40° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.What is the supplement of 91° (in degrees)?
  39. 39.Are 62° and 118° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 47
  2. 29
  3. 52
  4. 159
  5. 21
  6. 130
  7. Neither
  8. 86
  9. 16
  10. 52
  11. Complementary
  12. 76
  13. 40
  14. 74
  15. 85
  16. 131
  17. Supplementary
  18. 158
  19. 61
  20. 89
  21. 67
  22. 91
  23. 88
  24. 75
  25. 23
  26. 69
  27. 60
  28. 124
  29. 85
  30. 111
  31. 110
  32. 77
  33. 137
  34. 104
  35. Complementary
  36. 60
  37. Complementary
  38. 89
  39. Supplementary
  40. Complementary

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