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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 711 · 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 72° (in degrees)?
  2. 2.What is the complement of 22° (in degrees)?
  3. 3.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  4. 4.Are 56° and 124° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  5. 5.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 11° (in degrees)?
  8. 8.What is the complement of 52° (in degrees)?
  9. 9.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  13. 13.Are 53° and 37° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.What is the supplement of 19° (in degrees)?
  15. 15.Are 49° and 41° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the complement of 76° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 100°. What is its corresponding angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 27° (in degrees)?
  21. 21.What is the supplement of 145° (in degrees)?
  22. 22.What is the supplement of 99° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its alternate interior angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  26. 26.What is the complement of 12° (in degrees)?
  27. 27.Are 77° and 30° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Are 71° and 48° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Are 46° and 44° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Are 11° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the complement of 54° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the complement of 78° (in degrees)?
  35. 35.What is the supplement of 133° (in degrees)?
  36. 36.What is the complement of 17° (in degrees)?
  37. 37.What is the supplement of 97° (in degrees)?
  38. 38.Are 47° and 133° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the complement of 7° (in degrees)?
  40. 40.Are 80° and 100° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 18
  2. 68
  3. 65
  4. Supplementary
  5. 55
  6. 55
  7. 79
  8. 38
  9. 130
  10. 134
  11. 83
  12. 130
  13. Complementary
  14. 161
  15. Complementary
  16. 104
  17. 14
  18. 100
  19. 148
  20. 63
  21. 35
  22. 81
  23. 63
  24. 138
  25. 150
  26. 78
  27. Neither
  28. Neither
  29. Complementary
  30. Neither
  31. 36
  32. 109
  33. 123
  34. 12
  35. 47
  36. 73
  37. 83
  38. Supplementary
  39. 83
  40. Supplementary

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