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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 351 · 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 interior angle is 60°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 172° (in degrees)?
  3. 3.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its alternate interior angle (in degrees)?
  5. 5.What is the supplement of 141° (in degrees)?
  6. 6.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One angle is 126°. What is its corresponding angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 67°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its alternate interior angle (in degrees)?
  10. 10.Are 76° and 104° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 69° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 31° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One angle is 73°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the supplement of 34° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 158°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 84° (in degrees)?
  23. 23.What is the complement of 26° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 138°. What is the angle next to it on the same line (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One angle is 149°. What is its corresponding angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
  27. 27.What is the complement of 70° (in degrees)?
  28. 28.Are 40° and 50° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  29. 29.What is the complement of 75° (in degrees)?
  30. 30.What is the complement of 14° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
  32. 32.Are 78° and 12° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  33. 33.What is the supplement of 55° (in degrees)?
  34. 34.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its alternate interior angle (in degrees)?
  37. 37.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.Are 73° and 17° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.Are 42° and 138° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither

Answer key

  1. 60
  2. 8
  3. 112
  4. 39
  5. 39
  6. 51
  7. 126
  8. 113
  9. 107
  10. Supplementary
  11. 105
  12. 154
  13. 111
  14. 27
  15. 122
  16. 59
  17. 73
  18. 62
  19. 146
  20. 22
  21. 68
  22. 96
  23. 64
  24. 42
  25. 149
  26. 138
  27. 20
  28. Complementary
  29. 15
  30. 76
  31. 44
  32. Complementary
  33. 125
  34. 73
  35. 108
  36. 68
  37. 63
  38. Complementary
  39. Complementary
  40. Supplementary

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