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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 744 · 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 142° (in degrees)?
  2. 2.What is the supplement of 154° (in degrees)?
  3. 3.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the supplement of 44° (in degrees)?
  5. 5.What is the complement of 64° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Are 72° and 37° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.Two straight lines cross each other. One of the angles formed is 82°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 70° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 23° (in degrees)?
  12. 12.What is the supplement of 35° (in degrees)?
  13. 13.Are 12° and 125° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 64° and 116° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  18. 18.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)?
  19. 19.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 72° (in degrees)?
  21. 21.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 65° (in degrees)?
  24. 24.What is the complement of 48° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 153°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 77° and 13° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.What is the complement of 57° (in degrees)?
  32. 32.Are 30° and 58° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 116°. What is the angle next to it on the same line (in degrees)?
  37. 37.Are 15° and 165° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Are 53° and 26° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  40. 40.What is the complement of 9° (in degrees)?

Answer key

  1. 38
  2. 26
  3. 51
  4. 136
  5. 26
  6. 100
  7. Neither
  8. 98
  9. 20
  10. 96
  11. 67
  12. 145
  13. Neither
  14. 23
  15. 159
  16. Supplementary
  17. 46
  18. 148
  19. 151
  20. 108
  21. Complementary
  22. 158
  23. 25
  24. 42
  25. 27
  26. 107
  27. 105
  28. 59
  29. 97
  30. Complementary
  31. 33
  32. Neither
  33. 117
  34. 67
  35. 27
  36. 64
  37. Supplementary
  38. Neither
  39. 144
  40. 81

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