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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 55 · 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 42° (in degrees)?
  2. 2.Are 18° and 104° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its alternate interior angle (in degrees)?
  6. 6.Are 66° and 24° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.What is the complement of 77° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its alternate interior angle (in degrees)?
  13. 13.What is the complement of 81° (in degrees)?
  14. 14.What is the supplement of 6° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 28° (in degrees)?
  18. 18.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 15° (in degrees)?
  21. 21.What is the complement of 6° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.What is the complement of 69° (in degrees)?
  24. 24.What is the complement of 83° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  26. 26.What is the supplement of 101° (in degrees)?
  27. 27.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 61° (in degrees)?
  30. 30.What is the supplement of 41° (in degrees)?
  31. 31.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 70° (in degrees)?
  33. 33.What is the complement of 39° (in degrees)?
  34. 34.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 79° (in degrees)?
  37. 37.Are 66° and 114° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.What is the complement of 67° (in degrees)?
  39. 39.What is the supplement of 93° (in degrees)?
  40. 40.Are 27° and 153° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 48
  2. Neither
  3. 52
  4. 97
  5. 66
  6. Complementary
  7. 150
  8. 33
  9. 86
  10. 13
  11. 157
  12. 84
  13. 9
  14. 174
  15. 57
  16. 79
  17. 152
  18. 107
  19. 51
  20. 165
  21. 84
  22. 93
  23. 21
  24. 7
  25. 112
  26. 79
  27. 138
  28. 148
  29. 29
  30. 139
  31. 74
  32. 20
  33. 51
  34. 70
  35. 94
  36. 11
  37. Supplementary
  38. 23
  39. 87
  40. Supplementary

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