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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 905 · 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 20° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  3. 3.What is the complement of 53° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 123°. What is its corresponding angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 46° (in degrees)?
  8. 8.What is the supplement of 124° (in degrees)?
  9. 9.What is the complement of 22° (in degrees)?
  10. 10.What is the supplement of 169° (in degrees)?
  11. 11.What is the complement of 49° (in degrees)?
  12. 12.Are 79° and 16° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  14. 14.What is the supplement of 164° (in degrees)?
  15. 15.What is the supplement of 5° (in degrees)?
  16. 16.What is the supplement of 42° (in degrees)?
  17. 17.What is the supplement of 95° (in degrees)?
  18. 18.What is the complement of 41° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the complement of 15° (in degrees)?
  21. 21.What is the complement of 43° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  23. 23.What is the complement of 42° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  25. 25.Are 31° and 149° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 27° and 153° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.What is the complement of 32° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
  30. 30.What is the complement of 51° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 83°. What is its corresponding angle (in degrees)?
  33. 33.Are 65° and 85° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.What is the complement of 56° (in degrees)?
  35. 35.What is the complement of 62° (in degrees)?
  36. 36.What is the complement of 36° (in degrees)?
  37. 37.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 131° (in degrees)?
  39. 39.What is the complement of 77° (in degrees)?
  40. 40.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 70
  2. 32
  3. 37
  4. 123
  5. 107
  6. 114
  7. 134
  8. 56
  9. 68
  10. 11
  11. 41
  12. Neither
  13. 43
  14. 16
  15. 175
  16. 138
  17. 85
  18. 49
  19. 123
  20. 75
  21. 47
  22. 111
  23. 48
  24. 68
  25. Supplementary
  26. 43
  27. Supplementary
  28. 58
  29. 39
  30. 39
  31. 54
  32. 83
  33. Neither
  34. 34
  35. 28
  36. 54
  37. 141
  38. 49
  39. 13
  40. 122

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