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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 178 · 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 parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 113° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding angle (in degrees)?
  4. 4.What is the complement of 42° (in degrees)?
  5. 5.What is the supplement of 111° (in degrees)?
  6. 6.Are 39° and 51° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  7. 7.Are 18° and 130° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 13° (in degrees)?
  10. 10.Are 24° and 156° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Two straight lines cross each other. One of the angles formed is 96°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 61° (in degrees)?
  13. 13.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  15. 15.What is the supplement of 147° (in degrees)?
  16. 16.Are 56° and 34° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  19. 19.Are 36° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  20. 20.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 70° (in degrees)?
  22. 22.What is the supplement of 107° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 33° (in degrees)?
  25. 25.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.What is the supplement of 98° (in degrees)?
  27. 27.What is the complement of 20° (in degrees)?
  28. 28.Are 77° and 103° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Are 30° and 47° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the supplement of 39° (in degrees)?
  35. 35.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 37° (in degrees)?
  37. 37.What is the supplement of 137° (in degrees)?
  38. 38.Are 66° and 97° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the complement of 37° (in degrees)?
  40. 40.What is the complement of 33° (in degrees)?

Answer key

  1. 126
  2. 67
  3. 84
  4. 48
  5. 69
  6. Complementary
  7. Neither
  8. 131
  9. 77
  10. Supplementary
  11. 96
  12. 29
  13. 115
  14. 35
  15. 33
  16. Complementary
  17. 80
  18. 126
  19. Neither
  20. 72
  21. 20
  22. 73
  23. 55
  24. 147
  25. Complementary
  26. 82
  27. 70
  28. Supplementary
  29. 151
  30. Neither
  31. 135
  32. 108
  33. 139
  34. 141
  35. 54
  36. 143
  37. 43
  38. Neither
  39. 53
  40. 57

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