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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 621 · 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 107° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its alternate interior angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the supplement of 144° (in degrees)?
  8. 8.Are 50° and 130° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.What is the complement of 56° (in degrees)?
  10. 10.What is the supplement of 77° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 151°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the supplement of 20° (in degrees)?
  14. 14.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the supplement of 137° (in degrees)?
  17. 17.What is the complement of 64° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 141° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 57°. What is its corresponding angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the supplement of 49° (in degrees)?
  27. 27.Are 51° and 129° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 20° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 130°. What is its corresponding angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  34. 34.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 66° (in degrees)?
  37. 37.What is the supplement of 19° (in degrees)?
  38. 38.What is the complement of 66° (in degrees)?
  39. 39.What is the complement of 58° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 73
  2. 69
  3. 108
  4. 69
  5. 127
  6. 152
  7. 36
  8. Supplementary
  9. 34
  10. 103
  11. 44
  12. 29
  13. 160
  14. 68
  15. 135
  16. 43
  17. 26
  18. 46
  19. 115
  20. 39
  21. 57
  22. 37
  23. 55
  24. 93
  25. 59
  26. 131
  27. Supplementary
  28. 141
  29. 91
  30. 70
  31. 139
  32. 130
  33. 110
  34. 78
  35. 47
  36. 114
  37. 161
  38. 24
  39. 32
  40. 112

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