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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 936 · 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 63° and 117° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.What is the complement of 71° (in degrees)?
  3. 3.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 60° (in degrees)?
  5. 5.What is the complement of 21° (in degrees)?
  6. 6.What is the complement of 83° (in degrees)?
  7. 7.What is the supplement of 171° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 16° (in degrees)?
  10. 10.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 29° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  13. 13.What is the complement of 32° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  15. 15.What is the supplement of 129° (in degrees)?
  16. 16.What is the complement of 14° (in degrees)?
  17. 17.Are 15° and 39° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 25° and 65° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.What is the complement of 62° (in degrees)?
  21. 21.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 42° (in degrees)?
  26. 26.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 35° (in degrees)?
  28. 28.What is the supplement of 78° (in degrees)?
  29. 29.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding angle (in degrees)?
  32. 32.Are 80° and 123° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  33. 33.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 173° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 14° and 123° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Are 79° and 101° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  40. 40.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?

Answer key

  1. Supplementary
  2. 19
  3. 55
  4. 30
  5. 69
  6. 7
  7. 9
  8. 48
  9. 74
  10. 100
  11. 151
  12. 48
  13. 58
  14. 96
  15. 51
  16. 76
  17. Neither
  18. 52
  19. Complementary
  20. 28
  21. 94
  22. 49
  23. 122
  24. 49
  25. 48
  26. 78
  27. 55
  28. 102
  29. 107
  30. 57
  31. 84
  32. Neither
  33. 73
  34. 57
  35. 7
  36. 89
  37. 58
  38. Neither
  39. Supplementary
  40. 91

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