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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 282 · 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 parallel lines are cut by a transversal. One angle is 71°. What is its corresponding angle (in degrees)?
  2. 2.What is the complement of 6° (in degrees)?
  3. 3.What is the complement of 76° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Are 25° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.What is the complement of 69° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 56°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 38° (in degrees)?
  10. 10.What is the supplement of 76° (in degrees)?
  11. 11.What is the complement of 48° (in degrees)?
  12. 12.Are 18° and 72° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.Are 31° and 56° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 54° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 57°. What is its corresponding angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  18. 18.What is the supplement of 78° (in degrees)?
  19. 19.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 62° (in degrees)?
  23. 23.What is the complement of 79° (in degrees)?
  24. 24.What is the complement of 12° (in degrees)?
  25. 25.What is the complement of 81° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  27. 27.What is the complement of 7° (in degrees)?
  28. 28.What is the complement of 20° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 62°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the supplement of 92° (in degrees)?
  31. 31.What is the complement of 55° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 60° (in degrees)?
  34. 34.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 51° and 129° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.What is the supplement of 143° (in degrees)?
  38. 38.What is the complement of 56° (in degrees)?
  39. 39.Are 61° and 119° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.What is the complement of 10° (in degrees)?

Answer key

  1. 71
  2. 84
  3. 14
  4. 144
  5. Complementary
  6. 21
  7. 146
  8. 124
  9. 142
  10. 104
  11. 42
  12. Complementary
  13. Neither
  14. 131
  15. 36
  16. 57
  17. 108
  18. 102
  19. 80
  20. 47
  21. 105
  22. 118
  23. 11
  24. 78
  25. 9
  26. 48
  27. 83
  28. 70
  29. 118
  30. 88
  31. 35
  32. 160
  33. 30
  34. 118
  35. Supplementary
  36. Complementary
  37. 37
  38. 34
  39. Supplementary
  40. 80

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