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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 809 · 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 supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 38° and 52° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 104° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  6. 6.Are 40° and 149° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 28° (in degrees)?
  10. 10.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.What is the complement of 9° (in degrees)?
  12. 12.What is the complement of 22° (in degrees)?
  13. 13.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 21° (in degrees)?
  15. 15.What is the complement of 42° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the complement of 45° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 119°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 78° (in degrees)?
  21. 21.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 23° (in degrees)?
  23. 23.What is the complement of 47° (in degrees)?
  24. 24.What is the supplement of 75° (in degrees)?
  25. 25.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the supplement of 70° (in degrees)?
  28. 28.Are 57° and 15° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.What is the complement of 69° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 54°. 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 142°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 83°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the complement of 30° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 81°. What is its corresponding angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the supplement of 97° (in degrees)?

Answer key

  1. 109
  2. Complementary
  3. 118
  4. 76
  5. 132
  6. Neither
  7. 140
  8. 60
  9. 62
  10. Complementary
  11. 81
  12. 68
  13. 49
  14. 69
  15. 48
  16. 75
  17. 45
  18. 61
  19. 129
  20. 12
  21. 115
  22. 67
  23. 43
  24. 105
  25. Supplementary
  26. 155
  27. 110
  28. Neither
  29. Complementary
  30. 21
  31. 126
  32. 142
  33. 116
  34. 83
  35. 22
  36. 97
  37. 60
  38. 81
  39. 141
  40. 83

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