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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 713 · 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 angle is 43°. What is its corresponding angle (in degrees)?
  2. 2.What is the complement of 68° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  5. 5.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  7. 7.Are 62° and 28° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  8. 8.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 51° and 155° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Are 11° and 79° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.What is the complement of 7° (in degrees)?
  12. 12.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)?
  13. 13.What is the supplement of 86° (in degrees)?
  14. 14.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)?
  15. 15.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 35° (in degrees)?
  17. 17.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 58° and 44° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  19. 19.What is the complement of 74° (in degrees)?
  20. 20.What is the complement of 56° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the supplement of 25° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the supplement of 87° (in degrees)?
  27. 27.What is the supplement of 65° (in degrees)?
  28. 28.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 76° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  32. 32.Are 34° and 30° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  33. 33.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  38. 38.What is the complement of 62° (in degrees)?
  39. 39.Are 39° and 66° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Are 52° and 28° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 43
  2. 22
  3. 65
  4. 109
  5. 72
  6. 48
  7. Complementary
  8. 107
  9. Neither
  10. Complementary
  11. 83
  12. 96
  13. 94
  14. 135
  15. 35
  16. 145
  17. 114
  18. Neither
  19. 16
  20. 34
  21. 112
  22. 20
  23. 155
  24. 85
  25. 140
  26. 93
  27. 115
  28. 110
  29. 53
  30. 14
  31. 142
  32. Neither
  33. 71
  34. 159
  35. 32
  36. 92
  37. 104
  38. 28
  39. Neither
  40. Neither

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