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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 835 · 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 38° (in degrees)?
  2. 2.What is the complement of 67° (in degrees)?
  3. 3.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 118° (in degrees)?
  6. 6.Are 41° and 116° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.What is the complement of 21° (in degrees)?
  8. 8.What is the complement of 34° (in degrees)?
  9. 9.What is the supplement of 76° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 13° (in degrees)?
  12. 12.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the complement of 73° (in degrees)?
  17. 17.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 80°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 140°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 101° (in degrees)?
  21. 21.What is the complement of 81° (in degrees)?
  22. 22.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  25. 25.Are 19° and 84° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.What is the supplement of 28° (in degrees)?
  27. 27.Two angles are supplementary. One is 8° 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 113°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 110° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Are 61° and 12° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its alternate interior angle (in degrees)?
  33. 33.What is the complement of 30° (in degrees)?
  34. 34.What is the supplement of 10° (in degrees)?
  35. 35.What is the complement of 18° (in degrees)?
  36. 36.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
  39. 39.Are 63° and 27° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 52
  2. 23
  3. 77
  4. 69
  5. 62
  6. Neither
  7. 69
  8. 56
  9. 104
  10. 134
  11. 77
  12. Complementary
  13. 149
  14. 50
  15. 53
  16. 17
  17. 155
  18. 100
  19. 140
  20. 79
  21. 9
  22. 113
  23. 51
  24. 55
  25. Neither
  26. 152
  27. 94
  28. 113
  29. 70
  30. 41
  31. Neither
  32. 97
  33. 60
  34. 170
  35. 72
  36. 93
  37. Complementary
  38. 114
  39. Complementary
  40. 142

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