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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 52 · 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 77° (in degrees)?
  2. 2.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 137° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 126° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 66°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 67° (in degrees)?
  8. 8.What is the supplement of 64° (in degrees)?
  9. 9.Are 75° and 104° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its alternate interior angle (in degrees)?
  12. 12.Are 20° and 137° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.What is the supplement of 116° (in degrees)?
  14. 14.What is the complement of 53° (in degrees)?
  15. 15.What is the complement of 30° (in degrees)?
  16. 16.What is the complement of 7° (in degrees)?
  17. 17.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 38° and 74° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  20. 20.Are 18° and 162° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.What is the supplement of 34° (in degrees)?
  22. 22.What is the supplement of 7° (in degrees)?
  23. 23.What is the complement of 49° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  25. 25.What is the supplement of 170° (in degrees)?
  26. 26.Are 54° and 126° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Are 25° and 6° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 22° and 68° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the complement of 26° (in degrees)?
  31. 31.What is the complement of 68° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 103°. What is the angle next to it on the same line (in degrees)?
  33. 33.Are 32° and 148° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.What is the supplement of 155° (in degrees)?
  35. 35.Are 69° and 21° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.What is the complement of 80° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 22° (in degrees)?
  39. 39.What is the supplement of 118° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?

Answer key

  1. 13
  2. 73
  3. 43
  4. 63
  5. 54
  6. 66
  7. 23
  8. 116
  9. Neither
  10. 48
  11. 59
  12. Neither
  13. 64
  14. 37
  15. 60
  16. 83
  17. 105
  18. Neither
  19. Supplementary
  20. Supplementary
  21. 146
  22. 173
  23. 41
  24. 76
  25. 10
  26. Supplementary
  27. Neither
  28. 50
  29. Complementary
  30. 64
  31. 22
  32. 77
  33. Supplementary
  34. 25
  35. Complementary
  36. 10
  37. 157
  38. 68
  39. 62
  40. 126

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