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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 597 · 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.Are 72° and 108° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  2. 2.What is the supplement of 47° (in degrees)?
  3. 3.What is the supplement of 18° (in degrees)?
  4. 4.What is the complement of 71° (in degrees)?
  5. 5.What is the complement of 34° (in degrees)?
  6. 6.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 92° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Are 61° and 29° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.What is the supplement of 49° (in degrees)?
  11. 11.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 30° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 70° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  16. 16.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are supplementary. One is 34° 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 98°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 124° (in degrees)?
  22. 22.Are 69° and 117° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  26. 26.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are complementary. One is 18° 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 57°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the complement of 74° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its alternate interior angle (in degrees)?
  35. 35.What is the supplement of 13° (in degrees)?
  36. 36.What is the supplement of 82° (in degrees)?
  37. 37.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 159°. What is the angle next to it on the same line (in degrees)?
  39. 39.What is the supplement of 34° (in degrees)?
  40. 40.What is the complement of 18° (in degrees)?

Answer key

  1. Supplementary
  2. 133
  3. 162
  4. 19
  5. 56
  6. 126
  7. 88
  8. 75
  9. Complementary
  10. 131
  11. 105
  12. 150
  13. 55
  14. 20
  15. 117
  16. 142
  17. 59
  18. 82
  19. 107
  20. 98
  21. 56
  22. Neither
  23. 41
  24. 74
  25. 38
  26. 125
  27. 43
  28. 54
  29. 57
  30. 16
  31. 124
  32. 121
  33. 119
  34. 117
  35. 167
  36. 98
  37. 109
  38. 21
  39. 146
  40. 72

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