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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 189 · 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 39°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  3. 3.Are 75° and 105° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.What is the complement of 23° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  6. 6.Are 59° and 31° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.What is the supplement of 81° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 21°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 51° (in degrees)?
  12. 12.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 33° and 57° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 15° and 75° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the supplement of 169° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  19. 19.Are 73° and 107° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  22. 22.Are 31° and 127° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.Are 80° and 10° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  25. 25.What is the complement of 10° (in degrees)?
  26. 26.Are 75° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.Are 39° and 51° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.What is the complement of 75° (in degrees)?
  29. 29.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 65° (in degrees)?
  31. 31.Are 15° and 93° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.What is the complement of 32° (in degrees)?
  33. 33.What is the supplement of 158° (in degrees)?
  34. 34.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 11° and 128° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 102° (in degrees)?
  38. 38.What is the supplement of 70° (in degrees)?
  39. 39.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 39° and 141° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 39
  2. 65
  3. Supplementary
  4. 67
  5. 131
  6. Complementary
  7. 99
  8. 159
  9. 105
  10. 130
  11. 39
  12. 65
  13. Complementary
  14. 129
  15. 97
  16. Complementary
  17. 11
  18. 150
  19. Supplementary
  20. 115
  21. 49
  22. Neither
  23. Complementary
  24. 74
  25. 80
  26. Neither
  27. Complementary
  28. 15
  29. 92
  30. 115
  31. Neither
  32. 58
  33. 22
  34. 53
  35. Neither
  36. 102
  37. 78
  38. 110
  39. 149
  40. Supplementary

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