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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 376 · 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 angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 70° and 110° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the complement of 63° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 72°. What is its alternate interior angle (in degrees)?
  6. 6.What is the supplement of 114° (in degrees)?
  7. 7.What is the supplement of 49° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the complement of 68° (in degrees)?
  10. 10.What is the supplement of 173° (in degrees)?
  11. 11.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  14. 14.What is the complement of 73° (in degrees)?
  15. 15.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 22° (in degrees)?
  20. 20.What is the supplement of 47° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  22. 22.What is the complement of 17° (in degrees)?
  23. 23.What is the supplement of 154° (in degrees)?
  24. 24.Two angles are supplementary. One is 66° 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 84°. What is its alternate interior angle (in degrees)?
  26. 26.What is the complement of 14° (in degrees)?
  27. 27.Are 67° and 22° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Are 22° and 47° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  29. 29.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 18° (in degrees)?
  32. 32.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  35. 35.What is the supplement of 152° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its other interior angle on the same side of the transversal (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 35° (in degrees)?
  39. 39.Are 48° and 110° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 70
  2. Supplementary
  3. 132
  4. 27
  5. 72
  6. 66
  7. 131
  8. 34
  9. 22
  10. 7
  11. 55
  12. 47
  13. 65
  14. 17
  15. 65
  16. 132
  17. 104
  18. 63
  19. 68
  20. 133
  21. 49
  22. 73
  23. 26
  24. 123
  25. 84
  26. 76
  27. Neither
  28. Neither
  29. 35
  30. 109
  31. 162
  32. 103
  33. 128
  34. 68
  35. 28
  36. 85
  37. 147
  38. 55
  39. Neither
  40. 54

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