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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 577 · 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 straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 12° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 101°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the supplement of 87° (in degrees)?
  7. 7.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  10. 10.Are 56° and 99° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.What is the supplement of 168° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
  14. 14.What is the supplement of 102° (in degrees)?
  15. 15.What is the supplement of 150° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
  17. 17.What is the complement of 27° (in degrees)?
  18. 18.What is the complement of 10° (in degrees)?
  19. 19.What is the supplement of 156° (in degrees)?
  20. 20.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  21. 21.What is the supplement of 165° (in degrees)?
  22. 22.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 47° (in degrees)?
  24. 24.What is the complement of 71° (in degrees)?
  25. 25.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 72°. What is its corresponding angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 22° (in degrees)?
  31. 31.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 41° and 139° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the complement of 51° (in degrees)?
  34. 34.What is the complement of 6° (in degrees)?
  35. 35.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 17° (in degrees)?
  38. 38.What is the complement of 26° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?

Answer key

  1. 60
  2. 46
  3. 78
  4. 27
  5. 79
  6. 93
  7. 59
  8. 57
  9. 73
  10. Neither
  11. 12
  12. 89
  13. 23
  14. 78
  15. 30
  16. 68
  17. 63
  18. 80
  19. 24
  20. Supplementary
  21. 15
  22. 80
  23. 43
  24. 19
  25. 66
  26. 72
  27. 83
  28. 74
  29. 56
  30. 68
  31. 50
  32. Supplementary
  33. 39
  34. 84
  35. 104
  36. 75
  37. 73
  38. 64
  39. 153
  40. 98

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