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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 883 · 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.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 9° (in degrees)?
  3. 3.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 169° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  7. 7.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  8. 8.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 174° (in degrees)?
  10. 10.What is the supplement of 43° (in degrees)?
  11. 11.What is the supplement of 105° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  13. 13.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)?
  14. 14.What is the complement of 6° (in degrees)?
  15. 15.What is the complement of 76° (in degrees)?
  16. 16.Are 51° and 129° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  18. 18.What is the complement of 7° (in degrees)?
  19. 19.Are 36° and 28° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.What is the supplement of 123° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its alternate interior angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  24. 24.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)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  26. 26.Are 52° and 16° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  30. 30.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 23° and 157° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.What is the supplement of 170° (in degrees)?
  34. 34.What is the complement of 82° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 59° and 121° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.What is the complement of 56° (in degrees)?
  40. 40.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 61
  2. 81
  3. 119
  4. 135
  5. 11
  6. 73
  7. Supplementary
  8. 82
  9. 6
  10. 137
  11. 75
  12. 148
  13. 65
  14. 84
  15. 14
  16. Supplementary
  17. 65
  18. 83
  19. Neither
  20. 57
  21. 145
  22. 41
  23. Supplementary
  24. 27
  25. 118
  26. Neither
  27. 138
  28. 62
  29. 38
  30. 132
  31. 56
  32. Supplementary
  33. 10
  34. 8
  35. 113
  36. Supplementary
  37. 142
  38. Complementary
  39. 34
  40. 113

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