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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 422 · 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 122° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 72° and 121° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  5. 5.Are 18° and 72° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  6. 6.What is the supplement of 61° (in degrees)?
  7. 7.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 39° (in degrees)?
  9. 9.What is the complement of 23° (in degrees)?
  10. 10.What is the supplement of 23° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 100°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the complement of 78° (in degrees)?
  13. 13.Are 64° and 116° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.What is the supplement of 108° (in degrees)?
  15. 15.What is the supplement of 78° (in degrees)?
  16. 16.What is the supplement of 153° (in degrees)?
  17. 17.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 90° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 107°. What is its corresponding angle (in degrees)?
  21. 21.What is the complement of 36° (in degrees)?
  22. 22.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  25. 25.What is the complement of 84° (in degrees)?
  26. 26.What is the complement of 11° (in degrees)?
  27. 27.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 36°. What is its corresponding angle (in degrees)?
  29. 29.What is the supplement of 18° (in degrees)?
  30. 30.Are 12° and 19° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  32. 32.What is the complement of 51° (in degrees)?
  33. 33.Are 12° and 78° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.What is the supplement of 104° (in degrees)?
  35. 35.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  36. 36.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)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  38. 38.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 151
  2. Neither
  3. 48
  4. 34
  5. Complementary
  6. 119
  7. 115
  8. 51
  9. 67
  10. 157
  11. 80
  12. 12
  13. Supplementary
  14. 72
  15. 102
  16. 27
  17. 75
  18. 56
  19. 90
  20. 107
  21. 54
  22. 77
  23. 135
  24. 116
  25. 6
  26. 79
  27. 64
  28. 36
  29. 162
  30. Neither
  31. 58
  32. 39
  33. Complementary
  34. 76
  35. 143
  36. 81
  37. 57
  38. 73
  39. 41
  40. 124

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