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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 766 · 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 41° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the complement of 11° (in degrees)?
  4. 4.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 51° (in degrees)?
  7. 7.What is the supplement of 152° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 154°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 70°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 66° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 91° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Are 16° and 74° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  21. 21.What is the complement of 44° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  24. 24.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)?
  25. 25.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the complement of 37° (in degrees)?
  27. 27.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 18° (in degrees)?
  29. 29.What is the complement of 54° (in degrees)?
  30. 30.What is the supplement of 23° (in degrees)?
  31. 31.Are 58° and 162° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Are 11° and 79° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Are 13° and 5° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Are 31° and 149° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.What is the complement of 61° (in degrees)?
  37. 37.Are 35° and 17° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Are 25° and 155° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.What is the supplement of 79° (in degrees)?

Answer key

  1. 139
  2. 105
  3. 79
  4. 141
  5. 70
  6. 129
  7. 28
  8. 154
  9. 70
  10. Complementary
  11. 153
  12. 114
  13. 92
  14. 150
  15. 58
  16. 105
  17. 89
  18. 134
  19. Complementary
  20. 36
  21. 46
  22. 155
  23. 150
  24. 42
  25. 47
  26. 53
  27. 137
  28. 72
  29. 36
  30. 157
  31. Neither
  32. 134
  33. Complementary
  34. Neither
  35. Supplementary
  36. 29
  37. Neither
  38. 73
  39. Supplementary
  40. 101

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