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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 465 · 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 29°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the supplement of 95° (in degrees)?
  3. 3.What is the complement of 76° (in degrees)?
  4. 4.What is the supplement of 26° (in degrees)?
  5. 5.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the supplement of 20° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its alternate interior angle (in degrees)?
  8. 8.What is the complement of 7° (in degrees)?
  9. 9.What is the supplement of 85° (in degrees)?
  10. 10.Are 32° and 149° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.What is the supplement of 46° (in degrees)?
  12. 12.What is the complement of 75° (in degrees)?
  13. 13.What is the supplement of 37° (in degrees)?
  14. 14.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 55° and 35° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.What is the complement of 39° (in degrees)?
  20. 20.What is the supplement of 175° (in degrees)?
  21. 21.Are 30° and 60° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  22. 22.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the complement of 43° (in degrees)?
  24. 24.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)?
  25. 25.What is the complement of 78° (in degrees)?
  26. 26.What is the supplement of 50° (in degrees)?
  27. 27.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the supplement of 39° (in degrees)?
  29. 29.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 16° (in degrees)?
  32. 32.What is the complement of 9° (in degrees)?
  33. 33.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 73° and 155° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  35. 35.Are 69° and 70° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  36. 36.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 45° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 31° (in degrees)?
  40. 40.What is the supplement of 115° (in degrees)?

Answer key

  1. 29
  2. 85
  3. 14
  4. 154
  5. 154
  6. 160
  7. 125
  8. 83
  9. 95
  10. Neither
  11. 134
  12. 15
  13. 143
  14. 79
  15. 24
  16. 92
  17. 50
  18. Complementary
  19. 51
  20. 5
  21. Complementary
  22. 130
  23. 47
  24. 143
  25. 12
  26. 130
  27. 60
  28. 141
  29. 153
  30. 113
  31. 164
  32. 81
  33. 61
  34. Neither
  35. Neither
  36. 73
  37. 45
  38. 99
  39. 59
  40. 65

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