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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 276 · 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 88° (in degrees)?
  2. 2.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 61° (in degrees)?
  7. 7.What is the supplement of 137° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 11° (in degrees)?
  10. 10.What is the complement of 19° (in degrees)?
  11. 11.Are 41° and 49° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 53° and 37° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 85° (in degrees)?
  16. 16.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 28°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 64° and 26° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.What is the supplement of 91° (in degrees)?
  22. 22.What is the complement of 53° (in degrees)?
  23. 23.Are 21° and 159° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.What is the supplement of 20° (in degrees)?
  25. 25.What is the supplement of 50° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the supplement of 139° (in degrees)?
  30. 30.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)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  32. 32.What is the complement of 57° (in degrees)?
  33. 33.What is the complement of 65° (in degrees)?
  34. 34.Are 78° and 84° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its alternate interior angle (in degrees)?
  36. 36.Are 31° and 47° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 48° (in degrees)?
  39. 39.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 92
  2. 80
  3. 31
  4. 71
  5. 54
  6. 29
  7. 43
  8. 125
  9. 79
  10. 71
  11. Complementary
  12. 136
  13. Complementary
  14. 45
  15. 95
  16. 107
  17. 50
  18. 152
  19. 101
  20. Complementary
  21. 89
  22. 37
  23. Supplementary
  24. 160
  25. 130
  26. 40
  27. 140
  28. 60
  29. 41
  30. 58
  31. 88
  32. 33
  33. 25
  34. Neither
  35. 137
  36. Neither
  37. 32
  38. 42
  39. 121
  40. 152

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