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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 60 · 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 56° (in degrees)?
  2. 2.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  4. 4.What is the complement of 17° (in degrees)?
  5. 5.What is the complement of 45° (in degrees)?
  6. 6.What is the complement of 61° (in degrees)?
  7. 7.Are 28° and 72° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the supplement of 54° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 140°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 73° (in degrees)?
  12. 12.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  13. 13.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the supplement of 14° (in degrees)?
  15. 15.What is the complement of 22° (in degrees)?
  16. 16.What is the complement of 52° (in degrees)?
  17. 17.What is the supplement of 145° (in degrees)?
  18. 18.What is the complement of 10° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the complement of 8° (in degrees)?
  21. 21.What is the complement of 26° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its alternate interior angle (in degrees)?
  23. 23.Are 35° and 72° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.What is the supplement of 174° (in degrees)?
  25. 25.What is the complement of 31° (in degrees)?
  26. 26.Are 50° and 40° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  29. 29.Are 25° and 65° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 14° and 166° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Are 53° and 37° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the supplement of 115° (in degrees)?
  34. 34.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)?
  35. 35.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Are 52° and 38° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.Two parallel lines are cut by a transversal. One angle is 85°. What is its corresponding angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 124
  2. 62
  3. 131
  4. 73
  5. 45
  6. 29
  7. Neither
  8. 126
  9. 52
  10. 140
  11. 17
  12. Complementary
  13. 79
  14. 166
  15. 68
  16. 38
  17. 35
  18. 80
  19. 92
  20. 82
  21. 64
  22. 123
  23. Neither
  24. 6
  25. 59
  26. Complementary
  27. 38
  28. 158
  29. Complementary
  30. 128
  31. Supplementary
  32. Complementary
  33. 65
  34. 105
  35. 151
  36. Complementary
  37. 85
  38. 141
  39. 52
  40. 89

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