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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 370 · 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 interior angle is 95°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Are 26° and 105° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.What is the complement of 69° (in degrees)?
  5. 5.What is the complement of 75° (in degrees)?
  6. 6.Are 75° and 105° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 68°. What is the angle next to it on the same line (in degrees)?
  9. 9.Are 14° and 166° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.What is the supplement of 41° (in degrees)?
  11. 11.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  12. 12.Are 72° and 85° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.What is the complement of 42° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 16° (in degrees)?
  16. 16.Are 22° and 102° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the complement of 19° (in degrees)?
  18. 18.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 123° (in degrees)?
  22. 22.What is the supplement of 26° (in degrees)?
  23. 23.Are 69° and 35° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 22° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  28. 28.What is the complement of 73° (in degrees)?
  29. 29.What is the supplement of 79° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  31. 31.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 38° and 151° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.What is the supplement of 103° (in degrees)?
  34. 34.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 71° and 19° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its alternate interior angle (in degrees)?
  37. 37.What is the complement of 46° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  40. 40.What is the complement of 41° (in degrees)?

Answer key

  1. 85
  2. 54
  3. Neither
  4. 21
  5. 15
  6. Supplementary
  7. 145
  8. 112
  9. Supplementary
  10. 139
  11. 137
  12. Neither
  13. 48
  14. 129
  15. 74
  16. Neither
  17. 71
  18. 122
  19. 80
  20. 76
  21. 57
  22. 154
  23. Neither
  24. 49
  25. 104
  26. 68
  27. 67
  28. 17
  29. 101
  30. 73
  31. 75
  32. Neither
  33. 77
  34. 50
  35. Complementary
  36. 66
  37. 44
  38. 106
  39. 140
  40. 49

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