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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 535 · 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 complement of 69° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.What is the supplement of 39° (in degrees)?
  6. 6.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 42° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 87° (in degrees)?
  12. 12.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 52° (in degrees)?
  15. 15.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 64° (in degrees)?
  17. 17.What is the complement of 29° (in degrees)?
  18. 18.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  19. 19.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)?
  20. 20.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 95° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Are 70° and 95° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.What is the supplement of 169° (in degrees)?
  32. 32.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 8° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the complement of 67° (in degrees)?
  37. 37.Are 64° and 116° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Are 11° and 79° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 21
  2. 150
  3. 52
  4. 141
  5. 141
  6. 147
  7. 138
  8. 150
  9. 30
  10. 147
  11. 93
  12. 104
  13. 66
  14. 38
  15. 97
  16. 26
  17. 61
  18. 77
  19. 105
  20. 133
  21. 100
  22. Complementary
  23. 52
  24. 64
  25. 74
  26. 60
  27. 56
  28. 85
  29. 88
  30. Neither
  31. 11
  32. 73
  33. 82
  34. 117
  35. 50
  36. 23
  37. Supplementary
  38. Complementary
  39. 138
  40. 53

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