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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 487 · 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 6° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 33° (in degrees)?
  3. 3.Are 71° and 63° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.Are 71° and 109° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  5. 5.What is the supplement of 64° (in degrees)?
  6. 6.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  8. 8.Are 66° and 114° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the supplement of 16° (in degrees)?
  10. 10.What is the supplement of 44° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the complement of 63° (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.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)?
  15. 15.What is the supplement of 117° (in degrees)?
  16. 16.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 30° (in degrees)?
  18. 18.What is the supplement of 83° (in degrees)?
  19. 19.What is the complement of 8° (in degrees)?
  20. 20.What is the complement of 24° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 139°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the supplement of 175° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 20° (in degrees)?
  26. 26.What is the complement of 57° (in degrees)?
  27. 27.Are 60° and 153° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 58° and 32° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  31. 31.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)?
  32. 32.What is the complement of 41° (in degrees)?
  33. 33.What is the complement of 32° (in degrees)?
  34. 34.What is the supplement of 140° (in degrees)?
  35. 35.Are 25° and 155° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.What is the complement of 82° (in degrees)?
  37. 37.What is the complement of 47° (in degrees)?
  38. 38.What is the complement of 45° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 50°. What is its alternate interior angle (in degrees)?

Answer key

  1. 93
  2. 147
  3. Neither
  4. Supplementary
  5. 116
  6. 71
  7. 134
  8. Supplementary
  9. 164
  10. 136
  11. 114
  12. 27
  13. 121
  14. 158
  15. 63
  16. 53
  17. 150
  18. 97
  19. 82
  20. 66
  21. 110
  22. 139
  23. 5
  24. 121
  25. 70
  26. 33
  27. Neither
  28. 143
  29. Complementary
  30. 64
  31. 108
  32. 49
  33. 58
  34. 40
  35. Supplementary
  36. 8
  37. 43
  38. 45
  39. 136
  40. 50

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