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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 144 · 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.What is the supplement of 47° (in degrees)?
  2. 2.What is the complement of 45° (in degrees)?
  3. 3.Are 66° and 41° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Are 43° and 21° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  7. 7.What is the supplement of 154° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 47°. What is its corresponding angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  10. 10.What is the supplement of 93° (in degrees)?
  11. 11.Are 23° and 67° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 117° (in degrees)?
  15. 15.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 30° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the supplement of 17° (in degrees)?
  18. 18.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 19° and 161° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.What is the supplement of 28° (in degrees)?
  21. 21.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 164° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  25. 25.Are 49° and 131° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.Are 61° and 29° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.What is the complement of 81° (in degrees)?
  28. 28.What is the supplement of 171° (in degrees)?
  29. 29.What is the complement of 8° (in degrees)?
  30. 30.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.What is the complement of 12° (in degrees)?
  34. 34.What is the supplement of 143° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 6° (in degrees)?
  37. 37.Are 54° and 126° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.Are 32° and 112° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?

Answer key

  1. 133
  2. 45
  3. Neither
  4. Neither
  5. 139
  6. 111
  7. 26
  8. 47
  9. 43
  10. 87
  11. Complementary
  12. 128
  13. 124
  14. 63
  15. 53
  16. Neither
  17. 163
  18. 76
  19. Supplementary
  20. 152
  21. 74
  22. 98
  23. 16
  24. 112
  25. Supplementary
  26. Complementary
  27. 9
  28. 9
  29. 82
  30. Complementary
  31. 46
  32. Complementary
  33. 78
  34. 37
  35. 85
  36. 84
  37. Supplementary
  38. Neither
  39. Complementary
  40. 59

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