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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 283 · 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 complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 14° and 76° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  4. 4.Are 50° and 40° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  5. 5.What is the complement of 61° (in degrees)?
  6. 6.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)?
  7. 7.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 34° and 146° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the complement of 29° (in degrees)?
  10. 10.Are 64° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.What is the supplement of 118° (in degrees)?
  12. 12.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  13. 13.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 9° (in degrees)?
  16. 16.What is the supplement of 29° (in degrees)?
  17. 17.What is the supplement of 171° (in degrees)?
  18. 18.What is the supplement of 100° (in degrees)?
  19. 19.What is the complement of 17° (in degrees)?
  20. 20.What is the complement of 32° (in degrees)?
  21. 21.Are 45° and 51° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.What is the complement of 62° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the supplement of 43° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the supplement of 102° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  28. 28.Are 11° and 79° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 85°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the supplement of 162° (in degrees)?
  31. 31.Are 62° and 118° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.What is the complement of 19° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Are 21° and 159° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  37. 37.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are complementary. One is 12° 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 126°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 68
  2. Complementary
  3. 144
  4. Complementary
  5. 29
  6. 89
  7. 114
  8. Supplementary
  9. 61
  10. Neither
  11. 62
  12. Complementary
  13. 141
  14. 77
  15. 81
  16. 151
  17. 9
  18. 80
  19. 73
  20. 58
  21. Neither
  22. 28
  23. 123
  24. 137
  25. 38
  26. 78
  27. 108
  28. Complementary
  29. 95
  30. 18
  31. Supplementary
  32. 71
  33. 155
  34. 41
  35. Supplementary
  36. 111
  37. Complementary
  38. 121
  39. 51
  40. 54

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