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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 336 · 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 supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  2. 2.Are 23° and 156° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  3. 3.What is the supplement of 168° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  5. 5.What is the supplement of 111° (in degrees)?
  6. 6.Are 65° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  7. 7.Are 34° and 22° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two straight lines cross each other. One of the angles formed is 29°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 21°. What is the angle next to it on the same line (in degrees)?
  10. 10.What is the supplement of 73° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 58°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 55° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 57°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the complement of 81° (in degrees)?
  17. 17.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 45°. What is its alternate interior angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 73° (in degrees)?
  23. 23.Are 73° and 17° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 138° (in degrees)?
  26. 26.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the complement of 18° (in degrees)?
  29. 29.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)?
  30. 30.Two straight lines cross each other. One of the angles formed is 94°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the supplement of 155° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its alternate interior angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the complement of 59° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 40°. 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 straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  38. 38.What is the supplement of 67° (in degrees)?
  39. 39.What is the complement of 63° (in degrees)?
  40. 40.What is the complement of 60° (in degrees)?

Answer key

  1. 110
  2. Neither
  3. 12
  4. 35
  5. 69
  6. Neither
  7. Neither
  8. 29
  9. 159
  10. 107
  11. 122
  12. 97
  13. 35
  14. 57
  15. 75
  16. 9
  17. 78
  18. 89
  19. 45
  20. 89
  21. 104
  22. 17
  23. Complementary
  24. 61
  25. 42
  26. 150
  27. 97
  28. 72
  29. 85
  30. 86
  31. 25
  32. 122
  33. 37
  34. 31
  35. 40
  36. 22
  37. 105
  38. 113
  39. 27
  40. 30

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