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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 856 · 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 supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 51° (in degrees)?
  3. 3.What is the supplement of 92° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  5. 5.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  8. 8.Are 46° and 29° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  9. 9.What is the complement of 70° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 47°. What is its corresponding angle (in degrees)?
  12. 12.What is the supplement of 32° (in degrees)?
  13. 13.What is the complement of 80° (in degrees)?
  14. 14.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 88° (in degrees)?
  18. 18.Are 32° and 148° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?
  21. 21.Are 44° and 46° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.What is the complement of 60° (in degrees)?
  23. 23.What is the supplement of 60° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 142°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 82°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the complement of 32° (in degrees)?
  28. 28.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 68° and 22° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 88°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 5° (in degrees)?
  33. 33.Are 71° and 109° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two straight lines cross each other. One of the angles formed is 155°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 17° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 101°. What is the angle next to it on the same line (in degrees)?
  39. 39.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 61° and 29° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 134
  2. 39
  3. 88
  4. 56
  5. 103
  6. 124
  7. 30
  8. Neither
  9. 20
  10. 53
  11. 47
  12. 148
  13. 10
  14. 157
  15. 60
  16. 120
  17. 92
  18. Supplementary
  19. 59
  20. 140
  21. Complementary
  22. 30
  23. 120
  24. 65
  25. 38
  26. 98
  27. 58
  28. 106
  29. 154
  30. Complementary
  31. 88
  32. 175
  33. Supplementary
  34. 25
  35. 31
  36. 73
  37. 38
  38. 79
  39. 69
  40. Complementary

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