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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 461 · 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.Are 47° and 43° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the complement of 5° (in degrees)?
  4. 4.What is the supplement of 145° (in degrees)?
  5. 5.What is the complement of 18° (in degrees)?
  6. 6.Are 77° and 10° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its alternate interior angle (in degrees)?
  8. 8.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  11. 11.What is the complement of 10° (in degrees)?
  12. 12.What is the complement of 41° (in degrees)?
  13. 13.What is the supplement of 89° (in degrees)?
  14. 14.Two angles are supplementary. One is 56° 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 35°. What is the angle next to it on the same line (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  18. 18.What is the supplement of 100° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  20. 20.What is the supplement of 142° (in degrees)?
  21. 21.What is the complement of 37° (in degrees)?
  22. 22.What is the complement of 29° (in degrees)?
  23. 23.What is the supplement of 36° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  25. 25.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its alternate interior angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Are 24° and 149° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.What is the complement of 23° (in degrees)?
  32. 32.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 17° and 47° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.What is the supplement of 49° (in degrees)?
  35. 35.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.What is the supplement of 13° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 136°. What is its corresponding angle (in degrees)?

Answer key

  1. Complementary
  2. 66
  3. 85
  4. 35
  5. 72
  6. Neither
  7. 147
  8. Complementary
  9. 38
  10. 96
  11. 80
  12. 49
  13. 91
  14. 118
  15. 145
  16. 39
  17. 152
  18. 80
  19. 141
  20. 38
  21. 53
  22. 61
  23. 144
  24. 128
  25. 73
  26. 53
  27. 119
  28. 106
  29. 82
  30. Neither
  31. 67
  32. 49
  33. Neither
  34. 131
  35. 152
  36. 125
  37. 72
  38. 167
  39. 29
  40. 136

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