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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 794 · 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 supplement of 151° (in degrees)?
  2. 2.What is the supplement of 25° (in degrees)?
  3. 3.What is the complement of 51° (in degrees)?
  4. 4.What is the complement of 65° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  6. 6.What is the complement of 21° (in degrees)?
  7. 7.What is the supplement of 143° (in degrees)?
  8. 8.What is the complement of 61° (in degrees)?
  9. 9.What is the complement of 17° (in degrees)?
  10. 10.What is the supplement of 105° (in degrees)?
  11. 11.What is the complement of 72° (in degrees)?
  12. 12.Are 55° and 72° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the supplement of 107° (in degrees)?
  15. 15.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 27° (in degrees)?
  20. 20.What is the supplement of 138° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  23. 23.What is the complement of 9° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 52° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the complement of 83° (in degrees)?
  28. 28.Two angles are supplementary. One is 108° 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 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  31. 31.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.What is the supplement of 15° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its alternate interior angle (in degrees)?
  34. 34.What is the complement of 55° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 77°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 18° (in degrees)?
  37. 37.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.What is the supplement of 53° (in degrees)?
  39. 39.What is the supplement of 117° (in degrees)?
  40. 40.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 29
  2. 155
  3. 39
  4. 25
  5. 59
  6. 69
  7. 37
  8. 29
  9. 73
  10. 75
  11. 18
  12. Neither
  13. 38
  14. 73
  15. 61
  16. 145
  17. 129
  18. 74
  19. 63
  20. 42
  21. 150
  22. 76
  23. 81
  24. 126
  25. 38
  26. 86
  27. 7
  28. 144
  29. 132
  30. 107
  31. Complementary
  32. 165
  33. 71
  34. 35
  35. 77
  36. 72
  37. Supplementary
  38. 127
  39. 63
  40. 136

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