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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 511 · 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.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 42° and 81° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.What is the complement of 28° (in degrees)?
  4. 4.What is the supplement of 152° (in degrees)?
  5. 5.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 13° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 132° (in degrees)?
  10. 10.Are 77° and 165° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.What is the supplement of 116° (in degrees)?
  12. 12.Are 79° and 75° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  13. 13.Two straight lines cross each other. One of the angles formed is 63°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 6° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 50° and 40° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 84° (in degrees)?
  20. 20.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  21. 21.What is the supplement of 64° (in degrees)?
  22. 22.What is the complement of 18° (in degrees)?
  23. 23.What is the complement of 59° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 34° (in degrees)?
  26. 26.What is the complement of 33° (in degrees)?
  27. 27.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 139° (in degrees)?
  29. 29.What is the supplement of 45° (in degrees)?
  30. 30.Are 21° and 69° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.What is the complement of 68° (in degrees)?
  32. 32.Are 77° and 103° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the complement of 36° (in degrees)?
  36. 36.What is the complement of 62° (in degrees)?
  37. 37.What is the supplement of 85° (in degrees)?
  38. 38.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 55° (in degrees)?

Answer key

  1. 54
  2. Neither
  3. 62
  4. 28
  5. 64
  6. 56
  7. 167
  8. 32
  9. 48
  10. Neither
  11. 64
  12. Neither
  13. 63
  14. 84
  15. 78
  16. 76
  17. Complementary
  18. 57
  19. 6
  20. 120
  21. 116
  22. 72
  23. 31
  24. 87
  25. 56
  26. 57
  27. 73
  28. 41
  29. 135
  30. Complementary
  31. 22
  32. Supplementary
  33. 67
  34. 98
  35. 54
  36. 28
  37. 95
  38. 59
  39. 65
  40. 125

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