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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 872 · 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 52° (in degrees)?
  2. 2.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 18° (in degrees)?
  4. 4.What is the complement of 12° (in degrees)?
  5. 5.What is the complement of 80° (in degrees)?
  6. 6.Are 40° and 95° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.What is the complement of 8° (in degrees)?
  11. 11.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  12. 12.Are 37° and 53° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.Are 20° and 41° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.What is the supplement of 41° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 16° (in degrees)?
  19. 19.What is the supplement of 65° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Are 18° and 72° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.Are 71° and 122° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  23. 23.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Are 63° and 27° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 153° (in degrees)?
  29. 29.What is the complement of 24° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the complement of 82° (in degrees)?
  32. 32.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  33. 33.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)?
  34. 34.Are 43° and 137° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Are 56° and 34° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the supplement of 52° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the complement of 35° (in degrees)?
  40. 40.What is the complement of 50° (in degrees)?

Answer key

  1. 38
  2. 46
  3. 72
  4. 78
  5. 10
  6. Neither
  7. Supplementary
  8. 129
  9. 149
  10. 82
  11. 146
  12. Complementary
  13. Neither
  14. 139
  15. 142
  16. 134
  17. 45
  18. 164
  19. 115
  20. 103
  21. Complementary
  22. Neither
  23. 63
  24. 32
  25. 131
  26. Complementary
  27. 52
  28. 27
  29. 66
  30. 141
  31. 8
  32. 53
  33. 93
  34. Supplementary
  35. Complementary
  36. 128
  37. 155
  38. 26
  39. 55
  40. 40

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