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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 338 · 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 straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 31° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 54°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Are 13° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.What is the supplement of 175° (in degrees)?
  8. 8.What is the supplement of 80° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 42° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Are 23° and 157° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.What is the supplement of 9° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  25. 25.Are 71° and 124° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its alternate interior angle (in degrees)?
  29. 29.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 9° (in degrees)?
  31. 31.What is the complement of 56° (in degrees)?
  32. 32.What is the supplement of 97° (in degrees)?
  33. 33.What is the complement of 78° (in degrees)?
  34. 34.What is the supplement of 52° (in degrees)?
  35. 35.Are 75° and 15° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.What is the complement of 49° (in degrees)?
  37. 37.What is the supplement of 161° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  39. 39.Are 67° and 113° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.What is the complement of 85° (in degrees)?

Answer key

  1. 52
  2. 136
  3. 59
  4. 54
  5. 128
  6. Neither
  7. 5
  8. 100
  9. 28
  10. Complementary
  11. 81
  12. 93
  13. 53
  14. 150
  15. 72
  16. 70
  17. 126
  18. 48
  19. 158
  20. Supplementary
  21. 171
  22. 93
  23. 127
  24. 96
  25. Neither
  26. 119
  27. 151
  28. 77
  29. 96
  30. 81
  31. 34
  32. 83
  33. 12
  34. 128
  35. Complementary
  36. 41
  37. 19
  38. 31
  39. Supplementary
  40. 5

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