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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 785 · 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 131°. What is its corresponding angle (in degrees)?
  2. 2.Are 44° and 46° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 148° (in degrees)?
  6. 6.What is the supplement of 69° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 129°. What is the angle next to it on the same line (in degrees)?
  8. 8.Are 31° and 59° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its alternate interior angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 148°. What is its alternate interior angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 103°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 125°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the supplement of 169° (in degrees)?
  15. 15.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  18. 18.What is the complement of 63° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  20. 20.Are 36° and 144° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.What is the complement of 24° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 27° (in degrees)?
  25. 25.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the supplement of 100° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  29. 29.What is the complement of 61° (in degrees)?
  30. 30.What is the complement of 9° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  32. 32.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 130°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 22° (in degrees)?
  37. 37.What is the complement of 72° (in degrees)?
  38. 38.What is the supplement of 76° (in degrees)?
  39. 39.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the supplement of 36° (in degrees)?

Answer key

  1. 131
  2. Complementary
  3. 47
  4. 75
  5. 32
  6. 111
  7. 51
  8. Complementary
  9. 108
  10. 141
  11. 148
  12. 77
  13. 125
  14. 11
  15. 63
  16. 71
  17. 144
  18. 27
  19. 74
  20. Supplementary
  21. 66
  22. 107
  23. 130
  24. 63
  25. 59
  26. 91
  27. 80
  28. 108
  29. 29
  30. 81
  31. 87
  32. 65
  33. 47
  34. 91
  35. 130
  36. 68
  37. 18
  38. 104
  39. 74
  40. 144

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