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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 533 · 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 angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  3. 3.What is the supplement of 103° (in degrees)?
  4. 4.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 31° (in degrees)?
  6. 6.Are 48° and 42° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.What is the supplement of 166° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 83°. What is its corresponding angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 73° and 55° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two angles are supplementary. One is 90° 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 103°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 53° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 113°. What is its corresponding angle (in degrees)?
  17. 17.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 72° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 64°. What is its corresponding angle (in degrees)?
  25. 25.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Are 10° and 80° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 132°. What is its corresponding angle (in degrees)?
  31. 31.What is the complement of 78° (in degrees)?
  32. 32.What is the supplement of 92° (in degrees)?
  33. 33.What is the supplement of 140° (in degrees)?
  34. 34.What is the supplement of 151° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 54°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 24° (in degrees)?
  37. 37.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 99° (in degrees)?
  40. 40.What is the complement of 77° (in degrees)?

Answer key

  1. 94
  2. 114
  3. 77
  4. 63
  5. 59
  6. Complementary
  7. 14
  8. 83
  9. 113
  10. 60
  11. Neither
  12. 135
  13. 103
  14. 134
  15. 37
  16. 113
  17. 76
  18. 84
  19. 155
  20. 102
  21. Supplementary
  22. 103
  23. 108
  24. 64
  25. Complementary
  26. Complementary
  27. 104
  28. 53
  29. 83
  30. 132
  31. 12
  32. 88
  33. 40
  34. 29
  35. 54
  36. 156
  37. 138
  38. 47
  39. 81
  40. 13

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