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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 355 · 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 98°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 16° and 74° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Two angles are complementary. One is 18° 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 109°. What is the angle next to it on the same line (in degrees)?
  5. 5.What is the supplement of 82° (in degrees)?
  6. 6.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 47° (in degrees)?
  8. 8.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 74° and 28° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.What is the complement of 66° (in degrees)?
  13. 13.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 58° (in degrees)?
  15. 15.What is the complement of 59° (in degrees)?
  16. 16.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 65° (in degrees)?
  18. 18.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  19. 19.Are 27° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  20. 20.What is the supplement of 57° (in degrees)?
  21. 21.What is the complement of 63° (in degrees)?
  22. 22.Are 71° and 19° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.What is the complement of 6° (in degrees)?
  24. 24.What is the complement of 36° (in degrees)?
  25. 25.What is the complement of 41° (in degrees)?
  26. 26.Are 30° and 60° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the complement of 77° (in degrees)?
  29. 29.What is the complement of 57° (in degrees)?
  30. 30.What is the complement of 22° (in degrees)?
  31. 31.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  33. 33.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)?
  34. 34.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  35. 35.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)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its alternate interior angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 55° and 125° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the complement of 37° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?

Answer key

  1. 98
  2. Complementary
  3. 54
  4. 71
  5. 98
  6. 57
  7. 43
  8. 142
  9. 80
  10. 131
  11. Neither
  12. 24
  13. 50
  14. 32
  15. 31
  16. 78
  17. 115
  18. 79
  19. Supplementary
  20. 123
  21. 27
  22. Complementary
  23. 84
  24. 54
  25. 49
  26. Complementary
  27. 109
  28. 13
  29. 33
  30. 68
  31. 95
  32. 104
  33. 37
  34. 113
  35. 158
  36. 32
  37. 142
  38. Supplementary
  39. 53
  40. 107

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