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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 137 · 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 53° and 37° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  2. 2.What is the supplement of 67° (in degrees)?
  3. 3.Are 28° and 152° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  4. 4.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  5. 5.What is the complement of 16° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.What is the complement of 85° (in degrees)?
  8. 8.Are 72° and 108° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.What is the supplement of 29° (in degrees)?
  10. 10.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are supplementary. One is 114° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  14. 14.What is the supplement of 58° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 5° (in degrees)?
  18. 18.Are 24° and 66° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  19. 19.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the complement of 56° (in degrees)?
  22. 22.What is the supplement of 89° (in degrees)?
  23. 23.Are 49° and 41° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 76° (in degrees)?
  26. 26.Are 30° and 60° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.What is the supplement of 50° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  30. 30.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)?
  31. 31.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 53° (in degrees)?
  33. 33.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 77° (in degrees)?
  35. 35.Are 69° and 21° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.What is the complement of 47° (in degrees)?
  37. 37.What is the supplement of 105° (in degrees)?
  38. 38.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 103°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?

Answer key

  1. Complementary
  2. 113
  3. Supplementary
  4. 126
  5. 74
  6. 102
  7. 5
  8. Supplementary
  9. 151
  10. 157
  11. 66
  12. 147
  13. 121
  14. 122
  15. 20
  16. 134
  17. 175
  18. Complementary
  19. 143
  20. 37
  21. 34
  22. 91
  23. Complementary
  24. 63
  25. 14
  26. Complementary
  27. 130
  28. 26
  29. 33
  30. 139
  31. 138
  32. 37
  33. 74
  34. 13
  35. Complementary
  36. 43
  37. 75
  38. 50
  39. 103
  40. 112

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