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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 101 · 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 10° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 21° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its alternate interior angle (in degrees)?
  5. 5.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  10. 10.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Are 75° and 92° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.Are 53° and 154° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the supplement of 128° (in degrees)?
  18. 18.What is the complement of 16° (in degrees)?
  19. 19.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 78° (in degrees)?
  21. 21.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 8° (in degrees)?
  23. 23.Are 61° and 119° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.What is the complement of 83° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 92°. What is its corresponding angle (in degrees)?
  26. 26.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 51° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 59°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.What is the complement of 28° (in degrees)?
  31. 31.Are 36° and 144° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  32. 32.What is the supplement of 146° (in degrees)?
  33. 33.What is the supplement of 19° (in degrees)?
  34. 34.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 46° and 82° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.Are 20° and 22° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two parallel lines are cut by a transversal. One angle is 47°. What is its corresponding angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?
  39. 39.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 85° (in degrees)?

Answer key

  1. 50
  2. 69
  3. 152
  4. 125
  5. 101
  6. 80
  7. 146
  8. 40
  9. 56
  10. Complementary
  11. Neither
  12. Neither
  13. 158
  14. Supplementary
  15. 105
  16. 60
  17. 52
  18. 74
  19. 130
  20. 102
  21. 157
  22. 82
  23. Supplementary
  24. 7
  25. 92
  26. 131
  27. 39
  28. 121
  29. 142
  30. 62
  31. Supplementary
  32. 34
  33. 161
  34. 155
  35. Neither
  36. Neither
  37. 47
  38. 135
  39. 133
  40. 5

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