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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 540 · 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 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 36°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  8. 8.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 120° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  12. 12.What is the complement of 15° (in degrees)?
  13. 13.Are 71° and 75° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the complement of 68° (in degrees)?
  17. 17.Are 19° and 83° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.What is the supplement of 118° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  22. 22.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 83°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the supplement of 111° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its alternate interior angle (in degrees)?
  26. 26.What is the supplement of 27° (in degrees)?
  27. 27.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the complement of 47° (in degrees)?
  30. 30.What is the complement of 23° (in degrees)?
  31. 31.What is the supplement of 79° (in degrees)?
  32. 32.What is the complement of 70° (in degrees)?
  33. 33.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 72° (in degrees)?
  36. 36.What is the supplement of 123° (in degrees)?
  37. 37.Are 35° and 145° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Two straight lines cross each other. One of the angles formed is 68°. What is the angle next to it on the same line (in degrees)?
  39. 39.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 143
  2. 53
  3. 36
  4. 103
  5. 88
  6. 152
  7. 76
  8. 151
  9. 60
  10. 63
  11. 49
  12. 75
  13. Neither
  14. 103
  15. 146
  16. 22
  17. Neither
  18. 62
  19. 42
  20. 97
  21. 61
  22. 141
  23. 97
  24. 69
  25. 146
  26. 153
  27. 145
  28. 140
  29. 43
  30. 67
  31. 101
  32. 20
  33. 143
  34. 48
  35. 108
  36. 57
  37. Supplementary
  38. 112
  39. 76
  40. 113

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