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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 432 · 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 parallel lines are cut by a transversal. One angle is 83°. What is its corresponding angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 71°. What is its corresponding angle (in degrees)?
  4. 4.What is the complement of 34° (in degrees)?
  5. 5.What is the supplement of 114° (in degrees)?
  6. 6.What is the complement of 7° (in degrees)?
  7. 7.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 49° and 41° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  12. 12.What is the supplement of 173° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its alternate interior angle (in degrees)?
  14. 14.What is the supplement of 52° (in degrees)?
  15. 15.What is the supplement of 19° (in degrees)?
  16. 16.Are 44° and 124° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 57° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.What is the complement of 25° (in degrees)?
  20. 20.What is the supplement of 157° (in degrees)?
  21. 21.What is the supplement of 14° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 44°. What is its corresponding angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its alternate interior angle (in degrees)?
  24. 24.Are 77° and 103° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 21° and 69° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Are 35° and 145° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the supplement of 45° (in degrees)?
  30. 30.What is the supplement of 62° (in degrees)?
  31. 31.Are 38° and 142° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.What is the complement of 23° (in degrees)?
  33. 33.Are 10° and 80° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 84° (in degrees)?
  37. 37.What is the complement of 8° (in degrees)?
  38. 38.Are 77° and 13° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the supplement of 48° (in degrees)?
  40. 40.What is the complement of 83° (in degrees)?

Answer key

  1. 83
  2. 38
  3. 71
  4. 56
  5. 66
  6. 83
  7. 77
  8. 55
  9. Complementary
  10. 69
  11. 31
  12. 7
  13. 75
  14. 128
  15. 161
  16. Neither
  17. 117
  18. Neither
  19. 65
  20. 23
  21. 166
  22. 44
  23. 137
  24. Supplementary
  25. 69
  26. Complementary
  27. 90
  28. Supplementary
  29. 135
  30. 118
  31. Supplementary
  32. 67
  33. Complementary
  34. Complementary
  35. 133
  36. 96
  37. 82
  38. Complementary
  39. 132
  40. 7

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