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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 756 · 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 supplement of 136° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the complement of 73° (in degrees)?
  4. 4.Are 29° and 61° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.What is the complement of 9° (in degrees)?
  6. 6.What is the complement of 14° (in degrees)?
  7. 7.What is the supplement of 151° (in degrees)?
  8. 8.Are 39° and 27° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.What is the supplement of 99° (in degrees)?
  10. 10.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Are 77° and 13° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Two parallel lines are cut by a transversal. One angle is 133°. What is its corresponding angle (in degrees)?
  14. 14.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 64° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the supplement of 111° (in degrees)?
  20. 20.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  22. 22.Are 11° and 169° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 19° and 71° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its alternate interior angle (in degrees)?
  27. 27.Are 34° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.Are 28° and 152° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the complement of 8° (in degrees)?
  30. 30.What is the supplement of 70° (in degrees)?
  31. 31.What is the complement of 85° (in degrees)?
  32. 32.What is the complement of 31° (in degrees)?
  33. 33.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 54° (in degrees)?
  35. 35.What is the supplement of 9° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 12° and 51° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 44
  2. 124
  3. 17
  4. Complementary
  5. 81
  6. 76
  7. 29
  8. Neither
  9. 81
  10. 133
  11. 34
  12. Complementary
  13. 133
  14. 143
  15. 69
  16. 26
  17. 86
  18. 32
  19. 69
  20. 110
  21. 45
  22. Supplementary
  23. 120
  24. 68
  25. Complementary
  26. 135
  27. Neither
  28. Supplementary
  29. 82
  30. 110
  31. 5
  32. 59
  33. 122
  34. 36
  35. 171
  36. 71
  37. Neither
  38. 42
  39. 150
  40. 150

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