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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 813 · 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 115° (in degrees)?
  2. 2.What is the complement of 66° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 20° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 30° (in degrees)?
  7. 7.What is the supplement of 116° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  9. 9.Are 55° and 125° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.What is the supplement of 81° (in degrees)?
  11. 11.What is the complement of 44° (in degrees)?
  12. 12.What is the complement of 42° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  15. 15.What is the supplement of 67° (in degrees)?
  16. 16.Are 56° and 34° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  18. 18.What is the supplement of 72° (in degrees)?
  19. 19.What is the supplement of 12° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 78°. What is its corresponding angle (in degrees)?
  21. 21.What is the complement of 70° (in degrees)?
  22. 22.Are 52° and 115° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 143°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  26. 26.What is the complement of 31° (in degrees)?
  27. 27.Are 75° and 68° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its other interior angle on the same side of the transversal (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  32. 32.Are 15° and 165° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the complement of 32° (in degrees)?
  34. 34.Are 63° and 13° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  37. 37.What is the complement of 62° (in degrees)?
  38. 38.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 43°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?

Answer key

  1. 65
  2. 24
  3. 105
  4. 70
  5. 69
  6. 60
  7. 64
  8. 37
  9. Supplementary
  10. 99
  11. 46
  12. 48
  13. 117
  14. 82
  15. 113
  16. Complementary
  17. 95
  18. 108
  19. 168
  20. 78
  21. 20
  22. Neither
  23. 125
  24. 143
  25. 33
  26. 59
  27. Neither
  28. 69
  29. 35
  30. 146
  31. 57
  32. Supplementary
  33. 58
  34. Neither
  35. 90
  36. 137
  37. 28
  38. 58
  39. 137
  40. 118

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