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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 674 · 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 parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  2. 2.What is the complement of 38° (in degrees)?
  3. 3.What is the supplement of 47° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  5. 5.What is the supplement of 36° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 45° (in degrees)?
  8. 8.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Two parallel lines are cut by a transversal. One angle is 105°. What is its corresponding angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 80° and 100° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 143°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Are 22° and 68° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.What is the supplement of 153° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Are 15° and 75° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 53° and 37° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.What is the supplement of 21° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  28. 28.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 79° and 68° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  32. 32.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 9° (in degrees)?
  37. 37.Are 72° and 106° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  38. 38.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  39. 39.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 78
  2. 52
  3. 133
  4. 148
  5. 144
  6. 58
  7. 45
  8. Complementary
  9. 105
  10. 23
  11. Supplementary
  12. 107
  13. 120
  14. 143
  15. 28
  16. 154
  17. 43
  18. Complementary
  19. 27
  20. 158
  21. 114
  22. 69
  23. Complementary
  24. 39
  25. Complementary
  26. 159
  27. 62
  28. 122
  29. 22
  30. 47
  31. Neither
  32. 37
  33. 44
  34. 94
  35. 143
  36. 81
  37. Neither
  38. 89
  39. Complementary
  40. 22

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