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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 284 · 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 156°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the supplement of 53° (in degrees)?
  3. 3.Are 74° and 106° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the complement of 68° (in degrees)?
  6. 6.What is the supplement of 161° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  8. 8.What is the supplement of 173° (in degrees)?
  9. 9.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 63° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its other interior angle on the same side of the transversal (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
  14. 14.Are 16° and 84° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  15. 15.Two angles are complementary. One is 30° 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 93°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the supplement of 67° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its alternate interior angle (in degrees)?
  19. 19.What is the complement of 31° (in degrees)?
  20. 20.Are 37° and 53° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its other interior angle on the same side of the transversal (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its alternate interior angle (in degrees)?
  24. 24.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  26. 26.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the complement of 10° (in degrees)?
  31. 31.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 23° (in degrees)?
  34. 34.Are 56° and 34° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
  36. 36.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)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
  38. 38.What is the complement of 27° (in degrees)?
  39. 39.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 12° (in degrees)?

Answer key

  1. 24
  2. 127
  3. Supplementary
  4. 100
  5. 22
  6. 19
  7. 60
  8. 7
  9. 73
  10. 50
  11. 27
  12. 63
  13. 141
  14. Neither
  15. 60
  16. 87
  17. 113
  18. 136
  19. 59
  20. Complementary
  21. 160
  22. 64
  23. 80
  24. 91
  25. 74
  26. 49
  27. 125
  28. 133
  29. 58
  30. 80
  31. 100
  32. 68
  33. 157
  34. Complementary
  35. 39
  36. 22
  37. 147
  38. 63
  39. 69
  40. 78

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