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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 563 · 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 45° (in degrees)?
  2. 2.What is the supplement of 55° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.What is the complement of 57° (in degrees)?
  6. 6.What is the supplement of 37° (in degrees)?
  7. 7.What is the complement of 15° (in degrees)?
  8. 8.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  9. 9.Are 13° and 75° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Are 41° and 139° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  13. 13.Are 41° and 49° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  14. 14.Are 33° and 57° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Are 11° and 79° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  17. 17.What is the supplement of 20° (in degrees)?
  18. 18.What is the supplement of 45° (in degrees)?
  19. 19.What is the supplement of 44° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 109°. What is its corresponding angle (in degrees)?
  21. 21.What is the supplement of 157° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  23. 23.What is the complement of 8° (in degrees)?
  24. 24.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the complement of 53° (in degrees)?
  28. 28.What is the supplement of 29° (in degrees)?
  29. 29.Are 48° and 139° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Two straight lines cross each other. One of the angles formed is 107°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 152° (in degrees)?
  33. 33.What is the complement of 51° (in degrees)?
  34. 34.What is the supplement of 101° (in degrees)?
  35. 35.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 148° (in degrees)?
  37. 37.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the complement of 10° (in degrees)?
  39. 39.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 60° (in degrees)?

Answer key

  1. 45
  2. 125
  3. 137
  4. 118
  5. 33
  6. 143
  7. 75
  8. 91
  9. Neither
  10. 30
  11. Supplementary
  12. 42
  13. Complementary
  14. Complementary
  15. Complementary
  16. Supplementary
  17. 160
  18. 135
  19. 136
  20. 109
  21. 23
  22. 94
  23. 82
  24. 117
  25. 43
  26. 135
  27. 37
  28. 151
  29. Neither
  30. 107
  31. 73
  32. 28
  33. 39
  34. 79
  35. 126
  36. 32
  37. 69
  38. 80
  39. 47
  40. 30

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