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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 69 · 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 52° and 57° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 61° and 119° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.What is the supplement of 132° (in degrees)?
  7. 7.Are 42° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.What is the complement of 35° (in degrees)?
  9. 9.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Are 17° and 163° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.What is the complement of 25° (in degrees)?
  14. 14.What is the complement of 79° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the complement of 20° (in degrees)?
  17. 17.What is the complement of 12° (in degrees)?
  18. 18.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 125° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 83° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the complement of 21° (in degrees)?
  24. 24.Are 63° and 27° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.Are 48° and 42° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.What is the supplement of 165° (in degrees)?
  27. 27.What is the supplement of 10° (in degrees)?
  28. 28.What is the complement of 54° (in degrees)?
  29. 29.What is the supplement of 166° (in degrees)?
  30. 30.What is the complement of 23° (in degrees)?
  31. 31.What is the supplement of 158° (in degrees)?
  32. 32.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)?
  33. 33.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 29° (in degrees)?
  35. 35.What is the supplement of 141° (in degrees)?
  36. 36.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 48° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Are 38° and 142° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. Neither
  2. 49
  3. 125
  4. 142
  5. Supplementary
  6. 48
  7. Complementary
  8. 55
  9. 56
  10. 111
  11. 108
  12. Supplementary
  13. 65
  14. 11
  15. 92
  16. 70
  17. 78
  18. 73
  19. 55
  20. 72
  21. 97
  22. 50
  23. 69
  24. Complementary
  25. Complementary
  26. 15
  27. 170
  28. 36
  29. 14
  30. 67
  31. 22
  32. 147
  33. 46
  34. 61
  35. 39
  36. 150
  37. 132
  38. 71
  39. Supplementary
  40. 150

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