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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 410 · 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 61°. What is its corresponding angle (in degrees)?
  2. 2.Are 11° and 169° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 33° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the supplement of 170° (in degrees)?
  7. 7.What is the complement of 47° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 121°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  10. 10.What is the complement of 81° (in degrees)?
  11. 11.Are 68° and 112° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  13. 13.What is the complement of 70° (in degrees)?
  14. 14.Are 46° and 134° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Are 11° and 79° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.Two straight lines cross each other. One of the angles formed is 139°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  19. 19.What is the complement of 60° (in degrees)?
  20. 20.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 35° (in degrees)?
  23. 23.What is the complement of 19° (in degrees)?
  24. 24.What is the supplement of 70° (in degrees)?
  25. 25.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Are 63° and 117° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.What is the complement of 71° (in degrees)?
  28. 28.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  30. 30.What is the complement of 18° (in degrees)?
  31. 31.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  33. 33.What is the complement of 23° (in degrees)?
  34. 34.What is the complement of 40° (in degrees)?
  35. 35.What is the supplement of 95° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 75°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 58° (in degrees)?
  39. 39.What is the supplement of 43° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?

Answer key

  1. 61
  2. Supplementary
  3. 31
  4. 147
  5. 116
  6. 10
  7. 43
  8. 121
  9. 118
  10. 9
  11. Supplementary
  12. 62
  13. 20
  14. Supplementary
  15. Complementary
  16. 139
  17. 134
  18. 65
  19. 30
  20. 60
  21. 50
  22. 55
  23. 71
  24. 110
  25. Supplementary
  26. Supplementary
  27. 19
  28. 147
  29. 49
  30. 72
  31. 114
  32. Complementary
  33. 67
  34. 50
  35. 85
  36. 55
  37. 75
  38. 122
  39. 137
  40. 130

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