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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 420 · 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 supplement of 48° (in degrees)?
  2. 2.What is the supplement of 137° (in degrees)?
  3. 3.Are 58° and 146° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.What is the complement of 6° (in degrees)?
  5. 5.What is the supplement of 138° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Are 38° and 142° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 28° (in degrees)?
  10. 10.What is the complement of 65° (in degrees)?
  11. 11.Are 57° and 123° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 80° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 21° and 159° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.What is the complement of 59° (in degrees)?
  19. 19.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  21. 21.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)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  23. 23.What is the supplement of 71° (in degrees)?
  24. 24.What is the complement of 42° (in degrees)?
  25. 25.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.What is the supplement of 23° (in degrees)?
  28. 28.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the supplement of 115° (in degrees)?
  30. 30.What is the supplement of 119° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 158° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its alternate interior angle (in degrees)?
  34. 34.Are 35° and 8° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 47° and 76° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 132
  2. 43
  3. Neither
  4. 84
  5. 42
  6. 130
  7. Supplementary
  8. 71
  9. 152
  10. 25
  11. Supplementary
  12. 62
  13. 10
  14. 44
  15. 25
  16. 139
  17. Supplementary
  18. 31
  19. 57
  20. 133
  21. 125
  22. 150
  23. 109
  24. 48
  25. 68
  26. Supplementary
  27. 157
  28. 51
  29. 65
  30. 61
  31. 69
  32. 22
  33. 40
  34. Neither
  35. 145
  36. 147
  37. Neither
  38. 155
  39. 53
  40. 103

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