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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 819 · 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.Are 51° and 129° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.Are 71° and 19° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 50° (in degrees)?
  6. 6.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 36° and 54° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the complement of 44° (in degrees)?
  14. 14.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the supplement of 139° (in degrees)?
  17. 17.Are 68° and 112° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two angles are complementary. One is 56° 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 45°. What is its alternate interior angle (in degrees)?
  20. 20.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 159° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  24. 24.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 143° (in degrees)?
  27. 27.Are 68° and 6° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.What is the supplement of 12° (in degrees)?
  29. 29.What is the complement of 32° (in degrees)?
  30. 30.What is the supplement of 161° (in degrees)?
  31. 31.What is the supplement of 72° (in degrees)?
  32. 32.What is the complement of 6° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 63°. What is its corresponding angle (in degrees)?
  35. 35.What is the supplement of 39° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  37. 37.What is the supplement of 48° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 105°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Supplementary
  2. Complementary
  3. 143
  4. 72
  5. 40
  6. 51
  7. 64
  8. 74
  9. 92
  10. Complementary
  11. 134
  12. 126
  13. 46
  14. 50
  15. 53
  16. 41
  17. Supplementary
  18. 73
  19. 45
  20. 70
  21. 157
  22. 21
  23. 143
  24. Complementary
  25. 104
  26. 37
  27. Neither
  28. 168
  29. 58
  30. 19
  31. 108
  32. 84
  33. 31
  34. 63
  35. 141
  36. 118
  37. 132
  38. 94
  39. 75
  40. 47

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