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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 494 · 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.What is the complement of 72° (in degrees)?
  3. 3.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.What is the complement of 77° (in degrees)?
  6. 6.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 65° and 25° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.What is the supplement of 30° (in degrees)?
  11. 11.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Are 44° and 38° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Are 51° and 129° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 80° (in degrees)?
  17. 17.What is the complement of 37° (in degrees)?
  18. 18.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 37° and 53° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.What is the complement of 27° (in degrees)?
  21. 21.What is the complement of 21° (in degrees)?
  22. 22.What is the supplement of 96° (in degrees)?
  23. 23.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 71° (in degrees)?
  25. 25.What is the complement of 19° (in degrees)?
  26. 26.What is the supplement of 133° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 127°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Are 60° and 120° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the supplement of 91° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the complement of 57° (in degrees)?
  33. 33.What is the supplement of 166° (in degrees)?
  34. 34.What is the supplement of 151° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 59°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 76
  2. 18
  3. 78
  4. Complementary
  5. 13
  6. 58
  7. 50
  8. 158
  9. Complementary
  10. 150
  11. 61
  12. 81
  13. Neither
  14. Supplementary
  15. 119
  16. 100
  17. 53
  18. 47
  19. Complementary
  20. 63
  21. 69
  22. 84
  23. 66
  24. 19
  25. 71
  26. 47
  27. 117
  28. 127
  29. Supplementary
  30. 89
  31. 64
  32. 33
  33. 14
  34. 29
  35. 139
  36. 48
  37. 109
  38. 118
  39. 121
  40. 69

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