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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 873 · 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 parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  3. 3.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.What is the complement of 6° (in degrees)?
  5. 5.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 71° (in degrees)?
  7. 7.What is the complement of 85° (in degrees)?
  8. 8.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 77° (in degrees)?
  10. 10.What is the complement of 83° (in degrees)?
  11. 11.What is the complement of 17° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 59° (in degrees)?
  14. 14.What is the supplement of 33° (in degrees)?
  15. 15.What is the complement of 84° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Are 10° and 170° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.What is the supplement of 114° (in degrees)?
  19. 19.What is the supplement of 37° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 69°. What is the angle next to it on the same line (in degrees)?
  22. 22.Are 32° and 146° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  23. 23.What is the supplement of 16° (in degrees)?
  24. 24.What is the complement of 18° (in degrees)?
  25. 25.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 57° and 123° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 31° (in degrees)?
  29. 29.What is the complement of 32° (in degrees)?
  30. 30.What is the complement of 16° (in degrees)?
  31. 31.Are 10° and 80° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the supplement of 69° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  36. 36.What is the complement of 28° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the supplement of 47° (in degrees)?

Answer key

  1. 45
  2. 41
  3. Supplementary
  4. 84
  5. 146
  6. 19
  7. 5
  8. 67
  9. 103
  10. 7
  11. 73
  12. 55
  13. 31
  14. 147
  15. 6
  16. 26
  17. Supplementary
  18. 66
  19. 143
  20. 142
  21. 111
  22. Neither
  23. 164
  24. 72
  25. 55
  26. Supplementary
  27. 46
  28. 59
  29. 58
  30. 74
  31. Complementary
  32. 43
  33. 108
  34. 111
  35. 126
  36. 62
  37. 73
  38. 41
  39. 105
  40. 133

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