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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 812 · 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 42° (in degrees)?
  2. 2.Are 67° and 23° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.What is the complement of 65° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the supplement of 163° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 49°. What is its alternate interior angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 8° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 40° (in degrees)?
  12. 12.Are 75° and 105° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 15° (in degrees)?
  15. 15.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 115°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 59° (in degrees)?
  18. 18.What is the supplement of 172° (in degrees)?
  19. 19.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 80° (in degrees)?
  21. 21.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the complement of 22° (in degrees)?
  24. 24.What is the supplement of 175° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the complement of 58° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  31. 31.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 28° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the supplement of 61° (in degrees)?
  39. 39.Are 50° and 130° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the complement of 18° (in degrees)?

Answer key

  1. 138
  2. Complementary
  3. 25
  4. 142
  5. 17
  6. 49
  7. 99
  8. 70
  9. 82
  10. 146
  11. 140
  12. Supplementary
  13. 65
  14. 75
  15. 64
  16. 115
  17. 121
  18. 8
  19. 60
  20. 10
  21. 159
  22. 74
  23. 68
  24. 5
  25. 30
  26. 46
  27. 47
  28. 32
  29. 108
  30. 71
  31. 57
  32. 61
  33. 41
  34. 58
  35. 152
  36. 68
  37. 42
  38. 119
  39. Supplementary
  40. 72

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