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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 510 · 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.Are 69° and 21° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  2. 2.Are 40° and 140° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.What is the supplement of 135° (in degrees)?
  4. 4.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 10° (in degrees)?
  6. 6.What is the supplement of 23° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 42°. What is its corresponding angle (in degrees)?
  8. 8.What is the supplement of 171° (in degrees)?
  9. 9.What is the complement of 12° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 15° (in degrees)?
  13. 13.What is the complement of 67° (in degrees)?
  14. 14.Are 21° and 69° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.What is the complement of 42° (in degrees)?
  16. 16.What is the supplement of 14° (in degrees)?
  17. 17.What is the complement of 8° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  20. 20.What is the supplement of 103° (in degrees)?
  21. 21.What is the supplement of 151° (in degrees)?
  22. 22.What is the complement of 82° (in degrees)?
  23. 23.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 80° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the supplement of 54° (in degrees)?
  29. 29.What is the complement of 85° (in degrees)?
  30. 30.What is the supplement of 67° (in degrees)?
  31. 31.What is the complement of 26° (in degrees)?
  32. 32.Are 48° and 115° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 25° (in degrees)?
  36. 36.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 23° (in degrees)?
  38. 38.What is the supplement of 15° (in degrees)?
  39. 39.What is the supplement of 102° (in degrees)?
  40. 40.What is the supplement of 128° (in degrees)?

Answer key

  1. Complementary
  2. Supplementary
  3. 45
  4. 122
  5. 80
  6. 157
  7. 42
  8. 9
  9. 78
  10. 43
  11. 130
  12. 75
  13. 23
  14. Complementary
  15. 48
  16. 166
  17. 82
  18. 54
  19. 111
  20. 77
  21. 29
  22. 8
  23. 70
  24. 100
  25. 67
  26. 47
  27. 42
  28. 126
  29. 5
  30. 113
  31. 64
  32. Neither
  33. Supplementary
  34. 41
  35. 65
  36. 64
  37. 67
  38. 165
  39. 78
  40. 52

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