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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 681 · 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 76° (in degrees)?
  2. 2.What is the supplement of 30° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 60° 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 105°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 133° (in degrees)?
  9. 9.What is the supplement of 69° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 39° (in degrees)?
  12. 12.What is the supplement of 71° (in degrees)?
  13. 13.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 18° (in degrees)?
  15. 15.What is the supplement of 58° (in degrees)?
  16. 16.What is the complement of 23° (in degrees)?
  17. 17.What is the supplement of 10° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 125°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 81° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  26. 26.What is the complement of 83° (in degrees)?
  27. 27.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Are 76° and 19° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.What is the complement of 68° (in degrees)?
  32. 32.What is the complement of 14° (in degrees)?
  33. 33.Are 80° and 10° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  34. 34.Two straight lines cross each other. One of the angles formed is 112°. 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 125°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 38° (in degrees)?
  37. 37.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 63° and 117° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the supplement of 79° (in degrees)?

Answer key

  1. 14
  2. 150
  3. 136
  4. 80
  5. 75
  6. 75
  7. 110
  8. 47
  9. 111
  10. 118
  11. 51
  12. 109
  13. 51
  14. 162
  15. 122
  16. 67
  17. 170
  18. 55
  19. 82
  20. 9
  21. 105
  22. 97
  23. 42
  24. 106
  25. 121
  26. 7
  27. 155
  28. 139
  29. 139
  30. Neither
  31. 22
  32. 76
  33. Complementary
  34. 68
  35. 125
  36. 142
  37. 73
  38. 55
  39. Supplementary
  40. 101

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