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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 29 · 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 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 61° and 81° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.What is the supplement of 167° (in degrees)?
  7. 7.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 71° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 57°. What is its corresponding angle (in degrees)?
  11. 11.Are 36° and 104° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its alternate interior angle (in degrees)?
  15. 15.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)?
  16. 16.What is the complement of 18° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 75° and 105° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Are 56° and 82° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Are 41° and 49° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.What is the supplement of 45° (in degrees)?
  25. 25.What is the supplement of 24° (in degrees)?
  26. 26.What is the supplement of 170° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 107°. What is its corresponding angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  29. 29.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 50° (in degrees)?
  32. 32.What is the complement of 21° (in degrees)?
  33. 33.Are 69° and 21° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.What is the supplement of 141° (in degrees)?
  35. 35.Are 17° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Are 36° and 90° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  39. 39.Are 67° and 113° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the supplement of 49° (in degrees)?

Answer key

  1. 33
  2. 155
  3. 96
  4. 61
  5. Neither
  6. 13
  7. 49
  8. Neither
  9. 150
  10. 57
  11. Neither
  12. 83
  13. 54
  14. 142
  15. 64
  16. 72
  17. 108
  18. 81
  19. Supplementary
  20. 142
  21. Neither
  22. 56
  23. Complementary
  24. 135
  25. 156
  26. 10
  27. 107
  28. 74
  29. 129
  30. 87
  31. 40
  32. 69
  33. Complementary
  34. 39
  35. Neither
  36. Neither
  37. 123
  38. 94
  39. Supplementary
  40. 131

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