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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 118 · 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 straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 85° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
  4. 4.Are 28° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  5. 5.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 60° (in degrees)?
  7. 7.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 49° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 99°. What is its corresponding angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Are 32° and 58° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its alternate interior angle (in degrees)?
  21. 21.What is the complement of 28° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  23. 23.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.Are 79° and 11° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  25. 25.What is the complement of 20° (in degrees)?
  26. 26.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)?
  27. 27.What is the complement of 37° (in degrees)?
  28. 28.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the supplement of 146° (in degrees)?
  30. 30.What is the supplement of 54° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  33. 33.What is the supplement of 174° (in degrees)?
  34. 34.Are 48° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  35. 35.Are 16° and 164° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its alternate interior angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 100°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 18° (in degrees)?
  40. 40.What is the complement of 64° (in degrees)?

Answer key

  1. 99
  2. 5
  3. 139
  4. Supplementary
  5. 94
  6. 30
  7. 152
  8. 111
  9. 41
  10. 85
  11. 41
  12. 97
  13. 67
  14. 146
  15. 62
  16. 99
  17. 113
  18. 123
  19. Complementary
  20. 39
  21. 62
  22. 144
  23. Complementary
  24. Complementary
  25. 70
  26. 148
  27. 53
  28. 97
  29. 34
  30. 126
  31. 31
  32. 146
  33. 6
  34. Complementary
  35. Supplementary
  36. 108
  37. 80
  38. 49
  39. 72
  40. 26

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