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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 706 · 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 complement of 59° (in degrees)?
  2. 2.What is the supplement of 167° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Are 47° and 133° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.What is the complement of 24° (in degrees)?
  6. 6.Are 67° and 19° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Are 65° and 25° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  8. 8.What is the supplement of 28° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  15. 15.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 147° (in degrees)?
  17. 17.What is the supplement of 119° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  20. 20.What is the supplement of 131° (in degrees)?
  21. 21.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 51°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 24°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the complement of 56° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 84°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the supplement of 166° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  30. 30.Are 48° and 132° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 50° (in degrees)?
  34. 34.What is the supplement of 70° (in degrees)?
  35. 35.What is the complement of 10° (in degrees)?
  36. 36.What is the complement of 78° (in degrees)?
  37. 37.What is the supplement of 174° (in degrees)?
  38. 38.What is the complement of 33° (in degrees)?
  39. 39.What is the supplement of 123° (in degrees)?
  40. 40.What is the complement of 62° (in degrees)?

Answer key

  1. 31
  2. 13
  3. 118
  4. Supplementary
  5. 66
  6. Neither
  7. Complementary
  8. 152
  9. 72
  10. 79
  11. 117
  12. 118
  13. 143
  14. 74
  15. 108
  16. 33
  17. 61
  18. 140
  19. 24
  20. 49
  21. 123
  22. 129
  23. 61
  24. 156
  25. 34
  26. 84
  27. 90
  28. 14
  29. 158
  30. Supplementary
  31. 47
  32. 75
  33. 40
  34. 110
  35. 80
  36. 12
  37. 6
  38. 57
  39. 57
  40. 28

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