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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 107 · 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 66°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 97° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 115°. What is the angle vertically opposite to it (in degrees)?
  4. 4.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)?
  5. 5.What is the complement of 19° (in degrees)?
  6. 6.What is the supplement of 139° (in degrees)?
  7. 7.What is the complement of 36° (in degrees)?
  8. 8.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the supplement of 145° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 12° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 167° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 46° (in degrees)?
  22. 22.What is the supplement of 69° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  24. 24.What is the supplement of 83° (in degrees)?
  25. 25.What is the complement of 72° (in degrees)?
  26. 26.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the complement of 18° (in degrees)?
  31. 31.What is the supplement of 10° (in degrees)?
  32. 32.What is the supplement of 11° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
  34. 34.What is the supplement of 36° (in degrees)?
  35. 35.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  37. 37.What is the complement of 6° (in degrees)?
  38. 38.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 33° and 107° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 66
  2. 83
  3. 115
  4. 147
  5. 71
  6. 41
  7. 54
  8. 79
  9. 52
  10. 110
  11. 35
  12. 65
  13. 120
  14. Complementary
  15. 104
  16. 80
  17. 139
  18. 13
  19. 48
  20. 95
  21. 44
  22. 111
  23. 98
  24. 97
  25. 18
  26. 55
  27. 138
  28. 155
  29. 84
  30. 72
  31. 170
  32. 169
  33. 42
  34. 144
  35. Complementary
  36. 117
  37. 84
  38. 145
  39. Neither
  40. 153

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