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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 502 · 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 supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 133°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 31°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the complement of 83° (in degrees)?
  6. 6.What is the supplement of 135° (in degrees)?
  7. 7.What is the supplement of 83° (in degrees)?
  8. 8.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its alternate interior angle (in degrees)?
  10. 10.What is the supplement of 10° (in degrees)?
  11. 11.What is the complement of 54° (in degrees)?
  12. 12.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 41° (in degrees)?
  14. 14.Are 79° and 136° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  15. 15.Are 40° and 140° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 131° (in degrees)?
  19. 19.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its alternate interior 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.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 14° (in degrees)?
  25. 25.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 18° (in degrees)?
  27. 27.What is the supplement of 27° (in degrees)?
  28. 28.What is the supplement of 112° (in degrees)?
  29. 29.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.What is the supplement of 144° (in degrees)?
  32. 32.What is the complement of 74° (in degrees)?
  33. 33.What is the supplement of 66° (in degrees)?
  34. 34.What is the complement of 76° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 70°. 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 29°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 13° (in degrees)?
  39. 39.Are 33° and 147° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.What is the complement of 16° (in degrees)?

Answer key

  1. 95
  2. 47
  3. 149
  4. 31
  5. 7
  6. 45
  7. 97
  8. 115
  9. 77
  10. 170
  11. 36
  12. 73
  13. 139
  14. Neither
  15. Supplementary
  16. 111
  17. 96
  18. 49
  19. 49
  20. 69
  21. 93
  22. 74
  23. 80
  24. 76
  25. 59
  26. 162
  27. 153
  28. 68
  29. Complementary
  30. Supplementary
  31. 36
  32. 16
  33. 114
  34. 14
  35. 73
  36. 110
  37. 29
  38. 77
  39. Supplementary
  40. 74

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