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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 665 · 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 44° and 46° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  5. 5.What is the supplement of 43° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the supplement of 44° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 25° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Are 37° and 53° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  16. 16.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 32° (in degrees)?
  18. 18.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the complement of 43° (in degrees)?
  22. 22.What is the complement of 58° (in degrees)?
  23. 23.Are 74° and 106° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  26. 26.Are 80° and 10° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  27. 27.Are 48° and 42° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.What is the supplement of 103° (in degrees)?
  29. 29.What is the supplement of 40° (in degrees)?
  30. 30.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 69° and 111° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the supplement of 55° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the complement of 19° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  37. 37.Are 28° and 134° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.What is the complement of 83° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?

Answer key

  1. Complementary
  2. 159
  3. 100
  4. 43
  5. 137
  6. 102
  7. 136
  8. 35
  9. 145
  10. 73
  11. 65
  12. 155
  13. Complementary
  14. 152
  15. 31
  16. 94
  17. 58
  18. 49
  19. 65
  20. 51
  21. 47
  22. 32
  23. Supplementary
  24. 52
  25. 101
  26. Complementary
  27. Complementary
  28. 77
  29. 140
  30. 77
  31. Supplementary
  32. 123
  33. 125
  34. 63
  35. 71
  36. 142
  37. Neither
  38. 7
  39. 60
  40. 76

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