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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 470 · 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.Are 16° and 74° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 60° and 30° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.What is the complement of 32° (in degrees)?
  5. 5.Are 33° and 43° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.What is the supplement of 173° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 154°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.What is the complement of 51° (in degrees)?
  13. 13.What is the supplement of 41° (in degrees)?
  14. 14.Are 57° and 33° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Are 15° and 165° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Are 15° and 75° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.What is the complement of 70° (in degrees)?
  22. 22.What is the supplement of 102° (in degrees)?
  23. 23.What is the complement of 16° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 132°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 62° (in degrees)?
  26. 26.What is the supplement of 145° (in degrees)?
  27. 27.What is the supplement of 66° (in degrees)?
  28. 28.What is the supplement of 151° (in degrees)?
  29. 29.Are 14° and 166° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  30. 30.Two straight lines cross each other. One of the angles formed is 99°. What is the angle next to it on the same line (in degrees)?
  31. 31.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)?
  32. 32.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  34. 34.Are 25° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.What is the supplement of 39° (in degrees)?
  36. 36.What is the complement of 47° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 106°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 22° (in degrees)?
  39. 39.What is the supplement of 160° (in degrees)?
  40. 40.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. Complementary
  2. 146
  3. Complementary
  4. 58
  5. Neither
  6. 7
  7. 91
  8. 47
  9. 110
  10. 154
  11. 141
  12. 39
  13. 139
  14. Complementary
  15. 129
  16. 118
  17. Supplementary
  18. 46
  19. Complementary
  20. Complementary
  21. 20
  22. 78
  23. 74
  24. 48
  25. 28
  26. 35
  27. 114
  28. 29
  29. Supplementary
  30. 81
  31. 148
  32. 51
  33. 55
  34. Neither
  35. 141
  36. 43
  37. 106
  38. 68
  39. 20
  40. 124

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