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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 6 · 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 supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 7° (in degrees)?
  3. 3.Are 11° and 109° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its alternate interior angle (in degrees)?
  5. 5.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 55°. What is its corresponding angle (in degrees)?
  7. 7.What is the complement of 13° (in degrees)?
  8. 8.What is the complement of 58° (in degrees)?
  9. 9.What is the complement of 83° (in degrees)?
  10. 10.What is the supplement of 78° (in degrees)?
  11. 11.Are 45° and 141° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 45°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 10° and 170° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  15. 15.Are 72° and 108° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 103°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the complement of 21° (in degrees)?
  19. 19.What is the supplement of 102° (in degrees)?
  20. 20.Are 61° and 29° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 67° (in degrees)?
  25. 25.What is the complement of 64° (in degrees)?
  26. 26.Are 50° and 130° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  27. 27.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  28. 28.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  29. 29.What is the supplement of 148° (in degrees)?
  30. 30.What is the complement of 42° (in degrees)?
  31. 31.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the supplement of 54° (in degrees)?
  33. 33.Are 77° and 118° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.What is the complement of 73° (in degrees)?
  35. 35.Are 28° and 77° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.What is the complement of 85° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  38. 38.What is the complement of 26° (in degrees)?
  39. 39.Are 60° and 30° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.Are 44° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary

Answer key

  1. 97
  2. 173
  3. Neither
  4. 137
  5. 141
  6. 55
  7. 77
  8. 32
  9. 7
  10. 102
  11. Neither
  12. 114
  13. 135
  14. Supplementary
  15. Supplementary
  16. 48
  17. 77
  18. 69
  19. 78
  20. Complementary
  21. 142
  22. 95
  23. 101
  24. 113
  25. 26
  26. Supplementary
  27. 112
  28. Complementary
  29. 32
  30. 48
  31. 50
  32. 126
  33. Neither
  34. 17
  35. Neither
  36. 5
  37. 104
  38. 64
  39. Complementary
  40. Complementary

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