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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 999 · 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 26° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 86°. 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 26°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 105° (in degrees)?
  5. 5.Are 19° and 161° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Are 13° and 77° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  7. 7.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 49° and 41° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.What is the supplement of 35° (in degrees)?
  10. 10.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)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its alternate interior angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its alternate interior angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 99°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 106°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  17. 17.What is the supplement of 98° (in degrees)?
  18. 18.What is the complement of 49° (in degrees)?
  19. 19.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 38° (in degrees)?
  21. 21.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.What is the supplement of 47° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.What is the supplement of 156° (in degrees)?
  25. 25.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 82° (in degrees)?
  29. 29.Are 48° and 132° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  30. 30.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding 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 complement of 10° (in degrees)?
  33. 33.What is the complement of 12° (in degrees)?
  34. 34.Are 62° and 118° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 56° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 100°. What is its corresponding angle (in degrees)?

Answer key

  1. 103
  2. 94
  3. 154
  4. 75
  5. Supplementary
  6. Complementary
  7. 159
  8. Complementary
  9. 145
  10. 124
  11. 50
  12. 115
  13. 81
  14. 80
  15. 74
  16. 87
  17. 82
  18. 41
  19. 46
  20. 142
  21. Supplementary
  22. 133
  23. 50
  24. 24
  25. 106
  26. 139
  27. 60
  28. 98
  29. Supplementary
  30. 84
  31. 68
  32. 80
  33. 78
  34. Supplementary
  35. 73
  36. 94
  37. 34
  38. 86
  39. 141
  40. 100

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