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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 656 · 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 straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 58° and 32° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.What is the complement of 28° (in degrees)?
  4. 4.What is the complement of 52° (in degrees)?
  5. 5.What is the supplement of 77° (in degrees)?
  6. 6.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)?
  7. 7.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 27°. What is the angle next to it on the same line (in degrees)?
  9. 9.Are 79° and 11° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Are 24° and 156° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Are 70° and 20° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.What is the complement of 63° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 61° (in degrees)?
  16. 16.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.What is the complement of 69° (in degrees)?
  18. 18.What is the supplement of 141° (in degrees)?
  19. 19.What is the supplement of 19° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 51° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the supplement of 109° (in degrees)?
  25. 25.What is the supplement of 169° (in degrees)?
  26. 26.Two angles are supplementary. One is 60° 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 34°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Are 40° and 50° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  30. 30.Are 65° and 115° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.What is the supplement of 28° (in degrees)?
  32. 32.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 51° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 124°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 34°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  37. 37.Are 29° and 151° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the supplement of 68° (in degrees)?
  39. 39.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 68° and 22° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 78
  2. Complementary
  3. 62
  4. 38
  5. 103
  6. 108
  7. 114
  8. 153
  9. Complementary
  10. Supplementary
  11. Complementary
  12. 143
  13. 27
  14. 125
  15. 29
  16. Complementary
  17. 21
  18. 39
  19. 161
  20. 77
  21. 129
  22. 61
  23. 92
  24. 71
  25. 11
  26. 120
  27. 34
  28. Complementary
  29. 121
  30. Supplementary
  31. 152
  32. 52
  33. 39
  34. 56
  35. 146
  36. 137
  37. Supplementary
  38. 112
  39. 68
  40. Complementary

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