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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 61 · 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.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 66° and 24° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Are 14° and 117° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its alternate interior angle (in degrees)?
  6. 6.Are 30° and 60° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.What is the supplement of 28° (in degrees)?
  8. 8.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 14° and 76° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.What is the supplement of 98° (in degrees)?
  13. 13.What is the supplement of 40° (in degrees)?
  14. 14.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 10° and 80° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  18. 18.What is the supplement of 150° (in degrees)?
  19. 19.What is the supplement of 94° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 77°. What is its corresponding angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 76°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the supplement of 120° (in degrees)?
  24. 24.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its alternate interior angle (in degrees)?
  28. 28.What is the complement of 15° (in degrees)?
  29. 29.What is the complement of 61° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  32. 32.What is the supplement of 51° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 34°. What is its corresponding angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its alternate interior angle (in degrees)?
  35. 35.Are 11° and 5° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 121° (in degrees)?
  38. 38.What is the supplement of 20° (in degrees)?
  39. 39.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 92° (in degrees)?

Answer key

  1. 49
  2. Complementary
  3. 22
  4. Neither
  5. 33
  6. Complementary
  7. 152
  8. 63
  9. 95
  10. 103
  11. Complementary
  12. 82
  13. 140
  14. 80
  15. Complementary
  16. 69
  17. 101
  18. 30
  19. 86
  20. 77
  21. 40
  22. 104
  23. 60
  24. 72
  25. 133
  26. 136
  27. 132
  28. 75
  29. 29
  30. 90
  31. 94
  32. 129
  33. 34
  34. 125
  35. Neither
  36. 123
  37. 59
  38. 160
  39. 158
  40. 88

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