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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 675 · 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 28° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 57° and 103° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two parallel lines are cut by a transversal. One angle is 113°. What is its corresponding angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its alternate interior angle (in degrees)?
  7. 7.What is the supplement of 61° (in degrees)?
  8. 8.What is the supplement of 153° (in degrees)?
  9. 9.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  11. 11.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  13. 13.What is the supplement of 144° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.What is the supplement of 51° (in degrees)?
  16. 16.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 37° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.What is the complement of 67° (in degrees)?
  23. 23.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 54° (in degrees)?
  25. 25.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  26. 26.What is the supplement of 161° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 145°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Are 27° and 153° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the supplement of 25° (in degrees)?
  32. 32.Are 40° and 50° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Are 26° and 69° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  35. 35.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 75° (in degrees)?
  37. 37.What is the complement of 76° (in degrees)?
  38. 38.Are 36° and 146° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the supplement of 119° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 81°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 59
  2. Neither
  3. 113
  4. 133
  5. 95
  6. 40
  7. 119
  8. 27
  9. 104
  10. 144
  11. 96
  12. 73
  13. 36
  14. 68
  15. 129
  16. 144
  17. 116
  18. 107
  19. 143
  20. 137
  21. 92
  22. 23
  23. 71
  24. 126
  25. Supplementary
  26. 19
  27. 120
  28. 123
  29. 145
  30. Supplementary
  31. 155
  32. Complementary
  33. 74
  34. Neither
  35. 69
  36. 105
  37. 14
  38. Neither
  39. 61
  40. 99

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