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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 939 · 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.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  3. 3.What is the complement of 6° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the complement of 24° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 14° (in degrees)?
  8. 8.What is the complement of 28° (in degrees)?
  9. 9.What is the complement of 11° (in degrees)?
  10. 10.What is the supplement of 121° (in degrees)?
  11. 11.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 24° (in degrees)?
  13. 13.What is the complement of 8° (in degrees)?
  14. 14.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  17. 17.What is the complement of 55° (in degrees)?
  18. 18.What is the complement of 51° (in degrees)?
  19. 19.What is the supplement of 123° (in degrees)?
  20. 20.Are 71° and 82° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.Are 30° and 139° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 41° (in degrees)?
  24. 24.What is the complement of 26° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  27. 27.Are 68° and 112° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Are 42° and 48° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 101°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 103°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the supplement of 45° (in degrees)?
  32. 32.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)?
  33. 33.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Are 43° and 52° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its alternate interior angle (in degrees)?
  40. 40.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 38
  2. 107
  3. 84
  4. 73
  5. 66
  6. 155
  7. 76
  8. 62
  9. 79
  10. 59
  11. 136
  12. 156
  13. 82
  14. 119
  15. 104
  16. Complementary
  17. 35
  18. 39
  19. 57
  20. Neither
  21. Neither
  22. 50
  23. 139
  24. 64
  25. 138
  26. 41
  27. Supplementary
  28. Complementary
  29. 79
  30. 77
  31. 135
  32. 148
  33. 65
  34. Complementary
  35. Neither
  36. 113
  37. 48
  38. 79
  39. 146
  40. 52

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