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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 24 · 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 82°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the supplement of 44° (in degrees)?
  3. 3.What is the complement of 28° (in degrees)?
  4. 4.What is the complement of 57° (in degrees)?
  5. 5.Are 54° and 126° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.Are 76° and 104° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the supplement of 128° (in degrees)?
  9. 9.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 18° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the complement of 19° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Are 52° and 128° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 73° and 107° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.What is the supplement of 91° (in degrees)?
  21. 21.What is the complement of 26° (in degrees)?
  22. 22.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 85° (in degrees)?
  24. 24.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 49° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 57° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  31. 31.Are 57° and 33° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the complement of 25° (in degrees)?
  34. 34.What is the supplement of 51° (in degrees)?
  35. 35.What is the supplement of 161° (in degrees)?
  36. 36.Are 69° and 21° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.What is the complement of 74° (in degrees)?
  38. 38.What is the complement of 9° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 76°. What is its corresponding angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?

Answer key

  1. 82
  2. 136
  3. 62
  4. 33
  5. Supplementary
  6. Supplementary
  7. 122
  8. 52
  9. 80
  10. 40
  11. 162
  12. 128
  13. 71
  14. 53
  15. Supplementary
  16. 52
  17. 25
  18. 65
  19. Supplementary
  20. 89
  21. 64
  22. 59
  23. 5
  24. 68
  25. 131
  26. 138
  27. 123
  28. 46
  29. 31
  30. 149
  31. Complementary
  32. 120
  33. 65
  34. 129
  35. 19
  36. Complementary
  37. 16
  38. 81
  39. 76
  40. 114

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