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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 564 · 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 complement of 46° (in degrees)?
  2. 2.Are 28° and 152° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  3. 3.What is the complement of 82° (in degrees)?
  4. 4.What is the complement of 85° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 69°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the complement of 62° (in degrees)?
  7. 7.Are 43° and 47° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.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)?
  9. 9.Are 50° and 40° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.What is the supplement of 171° (in degrees)?
  11. 11.What is the supplement of 53° (in degrees)?
  12. 12.Are 80° and 10° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  13. 13.Are 17° and 73° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  15. 15.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 38° (in degrees)?
  17. 17.What is the complement of 26° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the supplement of 11° (in degrees)?
  20. 20.What is the supplement of 59° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 133°. What is its corresponding angle (in degrees)?
  22. 22.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Are 60° and 53° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Are 45° and 45° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 29° (in degrees)?
  29. 29.Are 10° and 36° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 54° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 126° (in degrees)?
  36. 36.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 58° (in degrees)?
  38. 38.What is the supplement of 168° (in degrees)?
  39. 39.Are 16° and 164° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  40. 40.Are 64° and 26° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 44
  2. Supplementary
  3. 8
  4. 5
  5. 69
  6. 28
  7. Complementary
  8. 110
  9. Complementary
  10. 9
  11. 127
  12. Complementary
  13. Complementary
  14. 126
  15. 149
  16. 52
  17. 64
  18. 75
  19. 169
  20. 121
  21. 133
  22. 111
  23. Complementary
  24. Neither
  25. Complementary
  26. 107
  27. 154
  28. 61
  29. Neither
  30. 35
  31. 68
  32. 126
  33. 49
  34. 83
  35. 54
  36. 49
  37. 32
  38. 12
  39. Supplementary
  40. Complementary

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