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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 894 · 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 angle is 63°. What is its corresponding angle (in degrees)?
  2. 2.Are 53° and 37° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.What is the supplement of 28° (in degrees)?
  4. 4.What is the complement of 74° (in degrees)?
  5. 5.What is the supplement of 132° (in degrees)?
  6. 6.What is the supplement of 16° (in degrees)?
  7. 7.What is the complement of 57° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  9. 9.What is the supplement of 8° (in degrees)?
  10. 10.Are 30° and 79° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  12. 12.What is the supplement of 54° (in degrees)?
  13. 13.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 77° (in degrees)?
  15. 15.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  17. 17.Are 45° and 45° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  18. 18.What is the complement of 7° (in degrees)?
  19. 19.What is the supplement of 111° (in degrees)?
  20. 20.Are 62° and 28° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the supplement of 101° (in degrees)?
  23. 23.What is the supplement of 68° (in degrees)?
  24. 24.What is the supplement of 139° (in degrees)?
  25. 25.Are 71° and 19° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.What is the supplement of 75° (in degrees)?
  27. 27.What is the complement of 65° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  29. 29.What is the complement of 20° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 56° (in degrees)?
  35. 35.What is the complement of 68° (in degrees)?
  36. 36.What is the complement of 36° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 166° (in degrees)?
  39. 39.What is the supplement of 39° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 145°. What is its corresponding angle (in degrees)?

Answer key

  1. 63
  2. Complementary
  3. 152
  4. 16
  5. 48
  6. 164
  7. 33
  8. 31
  9. 172
  10. Neither
  11. 35
  12. 126
  13. 63
  14. 13
  15. 76
  16. 85
  17. Complementary
  18. 83
  19. 69
  20. Complementary
  21. 123
  22. 79
  23. 112
  24. 41
  25. Complementary
  26. 105
  27. 25
  28. 56
  29. 70
  30. 57
  31. 99
  32. 136
  33. 47
  34. 34
  35. 22
  36. 54
  37. 48
  38. 14
  39. 141
  40. 145

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