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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 262 · 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 57° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 76°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Are 75° and 105° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  4. 4.What is the supplement of 25° (in degrees)?
  5. 5.Are 51° and 129° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 37° (in degrees)?
  8. 8.What is the supplement of 117° (in degrees)?
  9. 9.What is the supplement of 53° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 115° (in degrees)?
  13. 13.What is the complement of 79° (in degrees)?
  14. 14.What is the complement of 63° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 122°. What is the angle next to it on the same line (in degrees)?
  17. 17.What is the supplement of 27° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 168° (in degrees)?
  21. 21.What is the supplement of 131° (in degrees)?
  22. 22.What is the complement of 32° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  25. 25.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the complement of 21° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  29. 29.What is the complement of 60° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 5° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the supplement of 120° (in degrees)?
  35. 35.What is the supplement of 49° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Are 12° and 78° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Are 40° and 140° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?

Answer key

  1. 33
  2. 76
  3. Supplementary
  4. 155
  5. Supplementary
  6. 151
  7. 53
  8. 63
  9. 127
  10. 87
  11. 65
  12. 65
  13. 11
  14. 27
  15. 130
  16. 58
  17. 153
  18. 37
  19. 59
  20. 12
  21. 49
  22. 58
  23. 148
  24. 129
  25. 155
  26. 152
  27. 69
  28. 85
  29. 30
  30. 74
  31. 46
  32. 85
  33. 156
  34. 60
  35. 131
  36. 139
  37. 114
  38. Complementary
  39. Supplementary
  40. 112

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