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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 399 · 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.What is the supplement of 126° (in degrees)?
  2. 2.Two angles are complementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the supplement of 140° (in degrees)?
  5. 5.Are 61° and 29° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.What is the supplement of 62° (in degrees)?
  7. 7.What is the supplement of 85° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 139°. What is its alternate interior angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 115°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the complement of 53° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 41°. What is its corresponding angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 155°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Are 30° and 60° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 117°. What is its corresponding angle (in degrees)?
  19. 19.Are 27° and 88° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.What is the supplement of 63° (in degrees)?
  21. 21.What is the supplement of 108° (in degrees)?
  22. 22.What is the complement of 37° (in degrees)?
  23. 23.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)?
  24. 24.What is the complement of 41° (in degrees)?
  25. 25.What is the complement of 15° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 64°. What is the angle next to it on the same line (in degrees)?
  27. 27.Are 79° and 19° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.What is the complement of 81° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Are 38° and 52° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  32. 32.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 72°. What is the angle next to it on the same line (in degrees)?
  34. 34.What is the supplement of 61° (in degrees)?
  35. 35.Are 64° and 116° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.What is the supplement of 40° (in degrees)?
  37. 37.What is the complement of 47° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (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. 54
  2. 72
  3. 44
  4. 40
  5. Complementary
  6. 118
  7. 95
  8. 139
  9. 134
  10. 115
  11. 37
  12. 31
  13. 41
  14. 155
  15. 61
  16. Complementary
  17. 113
  18. 117
  19. Neither
  20. 117
  21. 72
  22. 53
  23. 99
  24. 49
  25. 75
  26. 116
  27. Neither
  28. 9
  29. 72
  30. Complementary
  31. 67
  32. 94
  33. 108
  34. 119
  35. Supplementary
  36. 140
  37. 43
  38. 106
  39. 107
  40. 100

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