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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 689 · 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 12° (in degrees)?
  2. 2.What is the supplement of 113° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 143°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  6. 6.What is the complement of 45° (in degrees)?
  7. 7.Are 25° and 155° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  9. 9.What is the complement of 57° (in degrees)?
  10. 10.What is the supplement of 112° (in degrees)?
  11. 11.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 148° (in degrees)?
  13. 13.Are 52° and 128° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.What is the complement of 62° (in degrees)?
  15. 15.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  17. 17.What is the supplement of 25° (in degrees)?
  18. 18.Are 45° and 58° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  19. 19.What is the complement of 78° (in degrees)?
  20. 20.What is the complement of 84° (in degrees)?
  21. 21.What is the complement of 27° (in degrees)?
  22. 22.What is the complement of 35° (in degrees)?
  23. 23.Are 53° and 37° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 79°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the supplement of 109° (in degrees)?
  26. 26.What is the complement of 70° (in degrees)?
  27. 27.What is the supplement of 107° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Are 45° and 135° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  33. 33.Are 44° and 46° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 82° (in degrees)?
  36. 36.What is the supplement of 63° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  38. 38.What is the complement of 55° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the supplement of 171° (in degrees)?

Answer key

  1. 78
  2. 67
  3. 65
  4. 143
  5. 59
  6. 45
  7. Supplementary
  8. 88
  9. 33
  10. 68
  11. 151
  12. 32
  13. Supplementary
  14. 28
  15. 124
  16. 142
  17. 155
  18. Neither
  19. 12
  20. 6
  21. 63
  22. 55
  23. Complementary
  24. 79
  25. 71
  26. 20
  27. 73
  28. 122
  29. Supplementary
  30. 55
  31. Complementary
  32. 41
  33. Complementary
  34. 89
  35. 8
  36. 117
  37. 58
  38. 35
  39. 133
  40. 9

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