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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 705 · 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 parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  2. 2.What is the supplement of 113° (in degrees)?
  3. 3.What is the complement of 51° (in degrees)?
  4. 4.What is the complement of 68° (in degrees)?
  5. 5.What is the complement of 27° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the supplement of 161° (in degrees)?
  8. 8.Are 23° and 143° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.What is the supplement of 148° (in degrees)?
  10. 10.What is the complement of 84° (in degrees)?
  11. 11.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the complement of 15° (in degrees)?
  14. 14.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 53° and 37° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  16. 16.What is the supplement of 157° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  18. 18.What is the complement of 46° (in degrees)?
  19. 19.What is the complement of 7° (in degrees)?
  20. 20.Are 64° and 129° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.What is the complement of 53° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  26. 26.Are 51° and 39° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.What is the supplement of 169° (in degrees)?
  29. 29.What is the complement of 26° (in degrees)?
  30. 30.What is the complement of 24° (in degrees)?
  31. 31.Are 76° and 14° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 79°. What is its corresponding angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 163° (in degrees)?
  37. 37.What is the complement of 18° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 145°. What is its corresponding angle (in degrees)?
  39. 39.What is the supplement of 44° (in degrees)?
  40. 40.What is the complement of 19° (in degrees)?

Answer key

  1. 112
  2. 67
  3. 39
  4. 22
  5. 63
  6. 130
  7. 19
  8. Neither
  9. 32
  10. 6
  11. 105
  12. 35
  13. 75
  14. 100
  15. Complementary
  16. 23
  17. 62
  18. 44
  19. 83
  20. Neither
  21. 37
  22. 127
  23. 97
  24. 146
  25. 49
  26. Complementary
  27. Supplementary
  28. 11
  29. 64
  30. 66
  31. Complementary
  32. 120
  33. 47
  34. 79
  35. 50
  36. 17
  37. 72
  38. 145
  39. 136
  40. 71

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