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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 476 · 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 straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the supplement of 8° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 54° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 80° (in degrees)?
  12. 12.What is the complement of 73° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 106°. What is the angle next to it on the same line (in degrees)?
  14. 14.What is the complement of 31° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  17. 17.What is the supplement of 90° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the complement of 22° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 96°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 7° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its alternate interior angle (in degrees)?
  24. 24.What is the complement of 21° (in degrees)?
  25. 25.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 41° (in degrees)?
  30. 30.What is the complement of 28° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 83° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 91° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its alternate interior angle (in degrees)?
  36. 36.What is the supplement of 37° (in degrees)?
  37. 37.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 22° and 8° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.What is the complement of 85° (in degrees)?
  40. 40.What is the supplement of 73° (in degrees)?

Answer key

  1. 157
  2. 172
  3. 41
  4. 67
  5. 61
  6. 36
  7. 146
  8. 84
  9. 140
  10. 46
  11. 100
  12. 17
  13. 74
  14. 59
  15. 38
  16. 150
  17. 90
  18. 122
  19. 105
  20. 68
  21. 84
  22. 83
  23. 139
  24. 69
  25. 53
  26. 92
  27. 128
  28. 138
  29. 49
  30. 62
  31. 158
  32. 7
  33. 22
  34. 89
  35. 77
  36. 143
  37. 68
  38. Neither
  39. 5
  40. 107

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