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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 743 · 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 53° (in degrees)?
  2. 2.What is the complement of 12° (in degrees)?
  3. 3.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.What is the supplement of 33° (in degrees)?
  5. 5.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.What is the supplement of 26° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 62° (in degrees)?
  10. 10.What is the complement of 69° (in degrees)?
  11. 11.What is the complement of 73° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 156°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 23° (in degrees)?
  16. 16.What is the complement of 76° (in degrees)?
  17. 17.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 70° 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 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.What is the complement of 41° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 76°. What is its corresponding angle (in degrees)?
  23. 23.What is the complement of 19° (in degrees)?
  24. 24.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 138° 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 101°. What is the angle vertically opposite to it (in degrees)?
  27. 27.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)?
  28. 28.What is the supplement of 105° (in degrees)?
  29. 29.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 52°. What is its alternate interior angle (in degrees)?
  31. 31.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 10° (in degrees)?
  33. 33.What is the supplement of 32° (in degrees)?
  34. 34.What is the supplement of 38° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 59° (in degrees)?
  37. 37.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 65° and 25° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 37
  2. 78
  3. Supplementary
  4. 147
  5. 110
  6. 112
  7. 154
  8. 110
  9. 118
  10. 21
  11. 17
  12. 37
  13. 156
  14. 54
  15. 67
  16. 14
  17. 106
  18. 80
  19. 78
  20. 49
  21. 31
  22. 76
  23. 71
  24. 149
  25. 159
  26. 101
  27. 133
  28. 75
  29. 47
  30. 52
  31. 139
  32. 80
  33. 148
  34. 142
  35. 44
  36. 31
  37. Complementary
  38. 56
  39. Complementary
  40. 124

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