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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 565 · 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 angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 121° (in degrees)?
  3. 3.What is the supplement of 75° (in degrees)?
  4. 4.What is the complement of 49° (in degrees)?
  5. 5.What is the complement of 56° (in degrees)?
  6. 6.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  7. 7.Are 35° and 140° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.What is the supplement of 13° (in degrees)?
  9. 9.What is the complement of 13° (in degrees)?
  10. 10.Are 76° and 162° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.What is the supplement of 81° (in degrees)?
  12. 12.Are 50° and 40° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.What is the complement of 79° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 152°. 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 106°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 19° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the supplement of 70° (in degrees)?
  24. 24.What is the complement of 35° (in degrees)?
  25. 25.What is the complement of 28° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
  27. 27.What is the complement of 55° (in degrees)?
  28. 28.What is the complement of 10° (in degrees)?
  29. 29.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Are 36° and 144° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Are 67° and 23° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.What is the complement of 65° (in degrees)?
  35. 35.What is the supplement of 41° (in degrees)?
  36. 36.What is the complement of 77° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  38. 38.What is the complement of 34° (in degrees)?
  39. 39.What is the supplement of 153° (in degrees)?
  40. 40.Are 32° and 148° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 59
  2. 59
  3. 105
  4. 41
  5. 34
  6. 117
  7. Neither
  8. 167
  9. 77
  10. Neither
  11. 99
  12. Complementary
  13. 11
  14. 28
  15. 74
  16. 37
  17. 98
  18. 153
  19. 71
  20. 128
  21. 83
  22. 44
  23. 110
  24. 55
  25. 62
  26. 120
  27. 35
  28. 80
  29. Complementary
  30. 117
  31. 61
  32. Supplementary
  33. Complementary
  34. 25
  35. 139
  36. 13
  37. 87
  38. 56
  39. 27
  40. Supplementary

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