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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 292 · 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 116° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?
  3. 3.What is the supplement of 106° (in degrees)?
  4. 4.What is the complement of 65° (in degrees)?
  5. 5.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 94° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 99°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the complement of 12° (in degrees)?
  10. 10.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the supplement of 145° (in degrees)?
  13. 13.What is the supplement of 26° (in degrees)?
  14. 14.What is the supplement of 115° (in degrees)?
  15. 15.Are 16° and 23° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  16. 16.What is the complement of 85° (in degrees)?
  17. 17.What is the complement of 34° (in degrees)?
  18. 18.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 39° (in degrees)?
  20. 20.What is the complement of 6° (in degrees)?
  21. 21.Are 31° and 59° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  22. 22.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 82° (in degrees)?
  24. 24.What is the supplement of 40° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 96° (in degrees)?
  29. 29.What is the complement of 44° (in degrees)?
  30. 30.What is the complement of 43° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 156° (in degrees)?
  33. 33.What is the complement of 54° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the complement of 38° (in degrees)?
  36. 36.What is the complement of 16° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  38. 38.What is the supplement of 15° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Are 16° and 121° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 64
  2. 135
  3. 74
  4. 25
  5. 113
  6. 86
  7. 99
  8. 124
  9. 78
  10. 60
  11. 59
  12. 35
  13. 154
  14. 65
  15. Neither
  16. 5
  17. 56
  18. 69
  19. 51
  20. 84
  21. Complementary
  22. 53
  23. 8
  24. 140
  25. 141
  26. 39
  27. 106
  28. 84
  29. 46
  30. 47
  31. 151
  32. 24
  33. 36
  34. 150
  35. 52
  36. 74
  37. 121
  38. 165
  39. 41
  40. Neither

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