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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 142 · 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.Are 29° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.Are 51° and 129° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.Are 70° and 61° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  11. 11.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 45° (in degrees)?
  14. 14.Are 43° and 47° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  16. 16.What is the supplement of 162° (in degrees)?
  17. 17.Are 13° and 167° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.What is the complement of 76° (in degrees)?
  19. 19.Are 47° and 43° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Are 75° and 105° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Are 65° and 115° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.What is the supplement of 172° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its alternate interior angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  26. 26.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the complement of 84° (in degrees)?
  30. 30.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  33. 33.What is the complement of 47° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 122° (in degrees)?
  36. 36.Are 67° and 23° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.What is the complement of 68° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 151°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 83° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. Neither
  2. Supplementary
  3. Neither
  4. 52
  5. 101
  6. 65
  7. 67
  8. 25
  9. 66
  10. 131
  11. 50
  12. 105
  13. 135
  14. Complementary
  15. 115
  16. 18
  17. Supplementary
  18. 14
  19. Complementary
  20. Supplementary
  21. Supplementary
  22. 8
  23. 147
  24. 106
  25. 58
  26. 48
  27. Complementary
  28. 105
  29. 6
  30. 95
  31. 93
  32. 85
  33. 43
  34. 76
  35. 58
  36. Complementary
  37. 22
  38. 29
  39. 97
  40. 127

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