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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 953 · 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 straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its alternate interior angle (in degrees)?
  4. 4.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 54°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the supplement of 74° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.What is the supplement of 20° (in degrees)?
  9. 9.What is the complement of 28° (in degrees)?
  10. 10.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 96° (in degrees)?
  12. 12.What is the complement of 29° (in degrees)?
  13. 13.Are 29° and 78° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Are 31° and 23° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.What is the supplement of 104° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the complement of 48° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 119°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 55°. What is its alternate interior angle (in degrees)?
  22. 22.Are 18° and 68° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  24. 24.Are 17° and 46° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.What is the complement of 67° (in degrees)?
  26. 26.What is the complement of 31° (in degrees)?
  27. 27.Are 60° and 120° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 88° (in degrees)?
  31. 31.What is the supplement of 120° (in degrees)?
  32. 32.What is the complement of 15° (in degrees)?
  33. 33.What is the supplement of 52° (in degrees)?
  34. 34.Are 13° and 77° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.What is the supplement of 131° (in degrees)?
  36. 36.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  37. 37.Are 24° and 156° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Are 28° and 52° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Two straight lines cross each other. One of the angles formed is 116°. What is the angle next to it on the same line (in degrees)?
  40. 40.Are 13° and 167° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 155
  2. 68
  3. 91
  4. 103
  5. 126
  6. 106
  7. 110
  8. 160
  9. 62
  10. 143
  11. 84
  12. 61
  13. Neither
  14. 52
  15. 143
  16. Neither
  17. 76
  18. 87
  19. 42
  20. 119
  21. 55
  22. Neither
  23. 156
  24. Neither
  25. 23
  26. 59
  27. Supplementary
  28. 52
  29. 50
  30. 92
  31. 60
  32. 75
  33. 128
  34. Complementary
  35. 49
  36. Complementary
  37. Supplementary
  38. Neither
  39. 64
  40. Supplementary

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