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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 172 · 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.

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  1. 1.Are 15° and 75° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.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)?
  3. 3.What is the complement of 62° (in degrees)?
  4. 4.What is the complement of 10° (in degrees)?
  5. 5.What is the complement of 49° (in degrees)?
  6. 6.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 81° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 123°. What is its corresponding angle (in degrees)?
  11. 11.What is the complement of 54° (in degrees)?
  12. 12.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 43° and 47° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Are 19° and 71° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its alternate interior angle (in degrees)?
  17. 17.What is the complement of 34° (in degrees)?
  18. 18.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 21° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the supplement of 122° (in degrees)?
  22. 22.What is the complement of 24° (in degrees)?
  23. 23.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 66° (in degrees)?
  25. 25.What is the complement of 11° (in degrees)?
  26. 26.Are 28° and 62° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two straight lines cross each other. One of the angles formed is 126°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Are 29° and 75° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.What is the complement of 50° (in degrees)?
  30. 30.Are 49° and 41° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Are 15° and 76° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.What is the complement of 16° (in degrees)?
  33. 33.What is the complement of 83° (in degrees)?
  34. 34.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 54° (in degrees)?
  36. 36.What is the complement of 78° (in degrees)?
  37. 37.Are 55° and 37° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  39. 39.Are 56° and 124° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Are 31° and 149° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. Complementary
  2. 142
  3. 28
  4. 80
  5. 41
  6. 139
  7. 9
  8. 149
  9. 56
  10. 123
  11. 36
  12. 91
  13. Complementary
  14. Complementary
  15. 133
  16. 101
  17. 56
  18. 69
  19. 69
  20. 128
  21. 58
  22. 66
  23. 151
  24. 24
  25. 79
  26. Complementary
  27. 126
  28. Neither
  29. 40
  30. Complementary
  31. Neither
  32. 74
  33. 7
  34. 116
  35. 126
  36. 12
  37. Neither
  38. 43
  39. Supplementary
  40. Supplementary

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