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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 825 · 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 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.What is the supplement of 154° (in degrees)?
  3. 3.What is the complement of 17° (in degrees)?
  4. 4.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 160° (in degrees)?
  6. 6.Are 58° and 7° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Are 75° and 15° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the supplement of 89° (in degrees)?
  9. 9.What is the supplement of 119° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 175° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  13. 13.Are 46° and 44° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Are 74° and 21° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Are 27° and 154° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 25° and 65° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 32° and 58° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.What is the complement of 71° (in degrees)?
  22. 22.What is the complement of 79° (in degrees)?
  23. 23.What is the supplement of 46° (in degrees)?
  24. 24.Are 54° and 126° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  30. 30.What is the supplement of 41° (in degrees)?
  31. 31.What is the supplement of 85° (in degrees)?
  32. 32.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 16° and 74° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  34. 34.What is the complement of 54° (in degrees)?
  35. 35.What is the supplement of 118° (in degrees)?
  36. 36.Are 58° and 122° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.What is the supplement of 24° (in degrees)?
  38. 38.What is the supplement of 147° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  40. 40.What is the complement of 18° (in degrees)?

Answer key

  1. 71
  2. 26
  3. 73
  4. 77
  5. 20
  6. Neither
  7. Complementary
  8. 91
  9. 61
  10. 45
  11. 5
  12. 51
  13. Complementary
  14. Neither
  15. Neither
  16. 55
  17. Complementary
  18. 70
  19. 109
  20. Complementary
  21. 19
  22. 11
  23. 134
  24. Supplementary
  25. 55
  26. 109
  27. 109
  28. 50
  29. 144
  30. 139
  31. 95
  32. 51
  33. Complementary
  34. 36
  35. 62
  36. Supplementary
  37. 156
  38. 33
  39. 121
  40. 72

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