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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 694 · 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 straight lines cross each other. One of the angles formed is 135°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 130°. What is the angle next to it on the same line (in degrees)?
  4. 4.Are 69° and 20° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.Are 19° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.What is the supplement of 44° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the complement of 49° (in degrees)?
  10. 10.Are 36° and 144° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.What is the complement of 59° (in degrees)?
  12. 12.What is the supplement of 102° (in degrees)?
  13. 13.What is the supplement of 81° (in degrees)?
  14. 14.What is the supplement of 136° (in degrees)?
  15. 15.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 78° (in degrees)?
  18. 18.What is the supplement of 130° (in degrees)?
  19. 19.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the complement of 13° (in degrees)?
  25. 25.What is the complement of 48° (in degrees)?
  26. 26.What is the supplement of 66° (in degrees)?
  27. 27.What is the complement of 15° (in degrees)?
  28. 28.What is the complement of 18° (in degrees)?
  29. 29.What is the supplement of 9° (in degrees)?
  30. 30.What is the supplement of 119° (in degrees)?
  31. 31.What is the supplement of 91° (in degrees)?
  32. 32.Are 68° and 22° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  34. 34.Are 24° and 66° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.What is the complement of 79° (in degrees)?
  36. 36.What is the complement of 85° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  38. 38.Are 25° and 155° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 45
  2. 104
  3. 50
  4. Neither
  5. Neither
  6. 136
  7. 129
  8. 55
  9. 41
  10. Supplementary
  11. 31
  12. 78
  13. 99
  14. 44
  15. 68
  16. 103
  17. 102
  18. 50
  19. 154
  20. 52
  21. 152
  22. 55
  23. 125
  24. 77
  25. 42
  26. 114
  27. 75
  28. 72
  29. 171
  30. 61
  31. 89
  32. Complementary
  33. 35
  34. Complementary
  35. 11
  36. 5
  37. 31
  38. Supplementary
  39. 109
  40. 78

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