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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 361 · 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 25° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 10° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  6. 6.What is the supplement of 46° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 107°. What is its corresponding angle (in degrees)?
  8. 8.What is the complement of 7° (in degrees)?
  9. 9.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)?
  10. 10.What is the supplement of 59° (in degrees)?
  11. 11.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 43° and 137° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 75° (in degrees)?
  25. 25.What is the supplement of 73° (in degrees)?
  26. 26.What is the complement of 38° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 56° (in degrees)?
  29. 29.Are 59° and 159° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 132° (in degrees)?
  32. 32.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 56° and 34° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 61° (in degrees)?
  36. 36.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 29° (in degrees)?
  38. 38.What is the complement of 12° (in degrees)?
  39. 39.Are 68° and 22° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its alternate interior angle (in degrees)?

Answer key

  1. 65
  2. 96
  3. 64
  4. 80
  5. 119
  6. 134
  7. 107
  8. 83
  9. 74
  10. 121
  11. 70
  12. 75
  13. 149
  14. 39
  15. 32
  16. 122
  17. 125
  18. 156
  19. 61
  20. Supplementary
  21. 151
  22. 93
  23. 142
  24. 15
  25. 107
  26. 52
  27. 139
  28. 34
  29. Neither
  30. 72
  31. 48
  32. 124
  33. Complementary
  34. 93
  35. 119
  36. 76
  37. 61
  38. 78
  39. Complementary
  40. 119

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