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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 758 · 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 straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 44° (in degrees)?
  3. 3.What is the supplement of 43° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  9. 9.What is the supplement of 5° (in degrees)?
  10. 10.What is the complement of 45° (in degrees)?
  11. 11.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 131° (in degrees)?
  14. 14.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the complement of 11° (in degrees)?
  17. 17.Are 54° and 104° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Are 29° and 37° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the complement of 31° (in degrees)?
  22. 22.What is the supplement of 28° (in degrees)?
  23. 23.What is the complement of 36° (in degrees)?
  24. 24.Are 29° and 61° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  25. 25.What is the complement of 22° (in degrees)?
  26. 26.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  28. 28.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 11° (in degrees)?
  31. 31.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.Are 79° and 11° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Are 22° and 114° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.What is the complement of 21° (in degrees)?
  36. 36.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 12° and 168° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 124
  2. 46
  3. 137
  4. 51
  5. Supplementary
  6. 149
  7. 51
  8. 32
  9. 175
  10. 45
  11. 48
  12. 117
  13. 49
  14. 58
  15. 93
  16. 79
  17. Neither
  18. Neither
  19. 62
  20. 129
  21. 59
  22. 152
  23. 54
  24. Complementary
  25. 68
  26. 68
  27. 112
  28. 73
  29. 74
  30. 169
  31. 102
  32. 119
  33. Complementary
  34. Neither
  35. 69
  36. Complementary
  37. 106
  38. Supplementary
  39. 94
  40. 120

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