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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 277 · 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 complement of 22° (in degrees)?
  2. 2.Are 54° and 126° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  5. 5.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its alternate interior angle (in degrees)?
  8. 8.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 15° and 75° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.What is the supplement of 87° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.What is the supplement of 169° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 55° (in degrees)?
  16. 16.What is the supplement of 28° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 131°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 38° (in degrees)?
  20. 20.Are 58° and 122° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  22. 22.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.What is the complement of 58° (in degrees)?
  24. 24.Are 24° and 66° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 75° (in degrees)?
  27. 27.What is the supplement of 58° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  29. 29.Are 32° and 58° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.What is the complement of 52° (in degrees)?
  31. 31.Are 31° and 39° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Are 26° and 64° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  33. 33.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 40° (in degrees)?
  36. 36.What is the complement of 75° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  39. 39.What is the complement of 42° (in degrees)?
  40. 40.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 68
  2. Supplementary
  3. Complementary
  4. Complementary
  5. 132
  6. 60
  7. 39
  8. 66
  9. Complementary
  10. 93
  11. 75
  12. Complementary
  13. 11
  14. 116
  15. 35
  16. 152
  17. 131
  18. 97
  19. 52
  20. Supplementary
  21. 75
  22. Complementary
  23. 32
  24. Complementary
  25. 46
  26. 105
  27. 122
  28. 33
  29. Complementary
  30. 38
  31. Neither
  32. Complementary
  33. 64
  34. 50
  35. 140
  36. 15
  37. 110
  38. 44
  39. 48
  40. 78

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