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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 308 · 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 71° and 19° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  2. 2.What is the supplement of 23° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the supplement of 35° (in degrees)?
  7. 7.What is the complement of 71° (in degrees)?
  8. 8.What is the complement of 52° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 83° (in degrees)?
  12. 12.What is the complement of 7° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the supplement of 162° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its alternate interior angle (in degrees)?
  17. 17.What is the complement of 8° (in degrees)?
  18. 18.What is the supplement of 168° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  21. 21.What is the complement of 53° (in degrees)?
  22. 22.What is the complement of 12° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
  24. 24.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its alternate interior angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 89°. 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 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the complement of 33° (in degrees)?
  31. 31.What is the complement of 23° (in degrees)?
  32. 32.What is the complement of 62° (in degrees)?
  33. 33.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 88° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  36. 36.Are 31° and 149° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.What is the supplement of 75° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 14° (in degrees)?

Answer key

  1. Complementary
  2. 157
  3. 147
  4. 116
  5. 29
  6. 145
  7. 19
  8. 38
  9. 60
  10. 49
  11. 97
  12. 83
  13. 75
  14. 18
  15. 115
  16. 45
  17. 82
  18. 12
  19. 119
  20. 92
  21. 37
  22. 78
  23. 88
  24. 50
  25. 119
  26. 91
  27. 110
  28. 93
  29. 147
  30. 57
  31. 67
  32. 28
  33. 148
  34. 92
  35. 43
  36. Supplementary
  37. 105
  38. 77
  39. 62
  40. 76

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