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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 108 · 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 7° (in degrees)?
  2. 2.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)?
  3. 3.Two straight lines cross each other. One of the angles formed is 72°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  5. 5.Are 73° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.What is the supplement of 163° (in degrees)?
  7. 7.What is the complement of 22° (in degrees)?
  8. 8.Are 75° and 15° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.What is the supplement of 138° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding angle (in degrees)?
  11. 11.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  12. 12.Are 44° and 136° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  13. 13.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 40° and 50° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Two parallel lines are cut by a transversal. One angle is 87°. What is its corresponding angle (in degrees)?
  16. 16.Two angles are complementary. One is 48° 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 32°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.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)?
  19. 19.Are 21° and 144° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.What is the supplement of 139° (in degrees)?
  21. 21.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two straight lines cross each other. One of the angles formed is 36°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the supplement of 80° (in degrees)?
  25. 25.What is the complement of 60° (in degrees)?
  26. 26.Two angles are complementary. One is 8° 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 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the complement of 47° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 160°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the supplement of 112° (in degrees)?
  35. 35.Are 20° and 160° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.What is the supplement of 93° (in degrees)?
  37. 37.Are 62° and 29° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the supplement of 91° (in degrees)?
  39. 39.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 17° (in degrees)?

Answer key

  1. 83
  2. 148
  3. 108
  4. 130
  5. Neither
  6. 17
  7. 68
  8. Complementary
  9. 42
  10. 125
  11. 116
  12. Supplementary
  13. 59
  14. Complementary
  15. 87
  16. 69
  17. 148
  18. 121
  19. Neither
  20. 41
  21. Complementary
  22. 36
  23. 96
  24. 100
  25. 30
  26. 49
  27. 71
  28. 43
  29. 143
  30. 62
  31. 20
  32. 142
  33. 21
  34. 68
  35. Supplementary
  36. 87
  37. Neither
  38. 89
  39. 113
  40. 163

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