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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 737 · 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 68° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 44° (in degrees)?
  3. 3.What is the complement of 82° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  5. 5.What is the supplement of 93° (in degrees)?
  6. 6.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  8. 8.What is the complement of 23° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  10. 10.Are 57° and 123° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.What is the supplement of 125° (in degrees)?
  12. 12.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 37° (in degrees)?
  16. 16.Are 64° and 121° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  17. 17.What is the complement of 41° (in degrees)?
  18. 18.What is the supplement of 110° (in degrees)?
  19. 19.What is the complement of 21° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  21. 21.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  22. 22.Are 10° and 170° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 48° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.Are 42° and 18° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  26. 26.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the supplement of 70° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 109°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the complement of 31° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 65°. 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 83°. What is its alternate interior angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its alternate interior angle (in degrees)?
  35. 35.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 40° and 164° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.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)?
  38. 38.Are 54° and 50° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.Are 28° and 152° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 79
  2. 136
  3. 8
  4. 48
  5. 87
  6. 96
  7. 35
  8. 67
  9. 107
  10. Supplementary
  11. 55
  12. 76
  13. 61
  14. 102
  15. 143
  16. Neither
  17. 49
  18. 70
  19. 69
  20. 45
  21. 47
  22. Supplementary
  23. 48
  24. Complementary
  25. Neither
  26. 142
  27. 27
  28. 110
  29. 109
  30. 59
  31. 129
  32. 115
  33. 83
  34. 69
  35. 150
  36. Neither
  37. 67
  38. Neither
  39. Supplementary
  40. 63

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