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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 42 · 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 supplement of 153° (in degrees)?
  2. 2.Are 13° and 75° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 84° (in degrees)?
  5. 5.Two angles are supplementary. One is 68° 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 133°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 46° (in degrees)?
  9. 9.Are 10° and 136° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.What is the supplement of 37° (in degrees)?
  11. 11.Are 78° and 90° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 24° (in degrees)?
  14. 14.Are 37° and 53° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Are 19° and 104° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  17. 17.Are 66° and 24° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 47° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 36° (in degrees)?
  23. 23.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 120°. 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 56°. What is the angle vertically opposite to it (in degrees)?
  27. 27.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)?
  28. 28.What is the supplement of 12° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 122°. What is the angle next to it on the same line (in degrees)?
  30. 30.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the complement of 71° (in degrees)?
  33. 33.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 83° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  37. 37.Are 71° and 19° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 27
  2. Neither
  3. 91
  4. 96
  5. 124
  6. 47
  7. 52
  8. 44
  9. Neither
  10. 143
  11. Neither
  12. 58
  13. 156
  14. Complementary
  15. Neither
  16. 41
  17. Complementary
  18. 59
  19. 119
  20. 43
  21. 23
  22. 144
  23. 49
  24. 24
  25. 60
  26. 56
  27. 60
  28. 168
  29. 58
  30. Supplementary
  31. 113
  32. 19
  33. 139
  34. 152
  35. 7
  36. 114
  37. Complementary
  38. 62
  39. 102
  40. 21

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