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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 299 · 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.Are 10° and 129° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  2. 2.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)?
  3. 3.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its alternate interior angle (in degrees)?
  6. 6.What is the complement of 52° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  9. 9.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  10. 10.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  13. 13.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 17° (in degrees)?
  15. 15.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 80° (in degrees)?
  17. 17.What is the supplement of 123° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 84° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its alternate interior angle (in degrees)?
  22. 22.What is the complement of 68° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Are 36° and 126° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Are 18° and 72° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  26. 26.What is the supplement of 107° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 77°. What is its corresponding angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.What is the complement of 40° (in degrees)?
  30. 30.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 151° (in degrees)?
  32. 32.What is the complement of 36° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its alternate interior angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  35. 35.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 11° and 58° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Are 10° and 170° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the complement of 18° (in degrees)?
  39. 39.Are 56° and 34° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the supplement of 67° (in degrees)?

Answer key

  1. Neither
  2. 89
  3. 57
  4. 67
  5. 68
  6. 38
  7. 92
  8. 59
  9. 151
  10. Complementary
  11. 58
  12. 47
  13. 157
  14. 73
  15. 68
  16. 10
  17. 57
  18. 151
  19. 44
  20. 6
  21. 119
  22. 22
  23. 102
  24. Neither
  25. Complementary
  26. 73
  27. 77
  28. 75
  29. 50
  30. 93
  31. 29
  32. 54
  33. 63
  34. 109
  35. 58
  36. Neither
  37. Supplementary
  38. 72
  39. Complementary
  40. 113

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