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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 585 · 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.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  4. 4.Are 43° and 47° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 154° (in degrees)?
  9. 9.What is the complement of 21° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 37° (in degrees)?
  13. 13.What is the complement of 43° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 24° (in degrees)?
  16. 16.Are 19° and 90° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the complement of 8° (in degrees)?
  18. 18.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)?
  19. 19.What is the complement of 53° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 126° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 16° (in degrees)?
  24. 24.What is the supplement of 169° (in degrees)?
  25. 25.Are 49° and 41° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
  27. 27.What is the complement of 57° (in degrees)?
  28. 28.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 136° (in degrees)?
  31. 31.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 107° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 114°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Are 23° and 67° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 69°. What is its corresponding angle (in degrees)?
  38. 38.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 6° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 76°. What is its corresponding angle (in degrees)?

Answer key

  1. 78
  2. 129
  3. 48
  4. Complementary
  5. 62
  6. 57
  7. 53
  8. 26
  9. 69
  10. 57
  11. 143
  12. 143
  13. 47
  14. 142
  15. 66
  16. Neither
  17. 82
  18. 55
  19. 37
  20. 48
  21. 54
  22. 133
  23. 164
  24. 11
  25. Complementary
  26. 52
  27. 33
  28. 95
  29. 70
  30. 44
  31. 54
  32. 73
  33. 89
  34. 114
  35. Complementary
  36. 36
  37. 69
  38. 117
  39. 84
  40. 76

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