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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 198 · 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 53° (in degrees)?
  2. 2.What is the complement of 81° (in degrees)?
  3. 3.What is the supplement of 157° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its alternate interior angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Are 23° and 67° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.What is the complement of 54° (in degrees)?
  8. 8.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 31° (in degrees)?
  12. 12.What is the supplement of 28° (in degrees)?
  13. 13.What is the supplement of 16° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  15. 15.Are 57° and 33° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.What is the supplement of 8° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 27° and 63° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the complement of 74° (in degrees)?
  21. 21.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  22. 22.Are 27° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the supplement of 79° (in degrees)?
  25. 25.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 22° (in degrees)?
  27. 27.What is the supplement of 5° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the supplement of 27° (in degrees)?
  30. 30.What is the supplement of 55° (in degrees)?
  31. 31.What is the supplement of 78° (in degrees)?
  32. 32.What is the supplement of 66° (in degrees)?
  33. 33.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 145° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 122°. What is its corresponding angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 123°. What is the angle vertically opposite to it (in degrees)?
  40. 40.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)?

Answer key

  1. 127
  2. 9
  3. 23
  4. 58
  5. 121
  6. Complementary
  7. 36
  8. 74
  9. 67
  10. 37
  11. 59
  12. 152
  13. 164
  14. 73
  15. Complementary
  16. 172
  17. 55
  18. Complementary
  19. 129
  20. 16
  21. 61
  22. Supplementary
  23. 38
  24. 101
  25. 78
  26. 158
  27. 175
  28. 104
  29. 153
  30. 125
  31. 102
  32. 114
  33. 71
  34. 35
  35. 122
  36. 43
  37. 61
  38. 146
  39. 123
  40. 93

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