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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 635 · 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 31°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 69° (in degrees)?
  3. 3.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 27°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  6. 6.What is the complement of 7° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its alternate interior angle (in degrees)?
  9. 9.What is the complement of 49° (in degrees)?
  10. 10.Are 25° and 104° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  11. 11.Are 28° and 152° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  12. 12.What is the supplement of 140° (in degrees)?
  13. 13.What is the complement of 63° (in degrees)?
  14. 14.What is the supplement of 80° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?
  17. 17.Are 69° and 21° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  20. 20.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the complement of 18° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  25. 25.What is the complement of 73° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its alternate interior angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 113°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the supplement of 169° (in degrees)?
  29. 29.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 131° (in degrees)?
  31. 31.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 53° (in degrees)?
  34. 34.What is the complement of 81° (in degrees)?
  35. 35.What is the complement of 11° (in degrees)?
  36. 36.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 143° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 100°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the supplement of 152° (in degrees)?

Answer key

  1. 31
  2. 21
  3. 132
  4. 27
  5. 88
  6. 83
  7. 49
  8. 95
  9. 41
  10. Neither
  11. Supplementary
  12. 40
  13. 27
  14. 100
  15. 31
  16. 91
  17. Complementary
  18. 144
  19. 77
  20. 49
  21. 117
  22. 72
  23. 34
  24. 115
  25. 17
  26. 122
  27. 113
  28. 11
  29. 75
  30. 49
  31. 155
  32. 120
  33. 37
  34. 9
  35. 79
  36. 116
  37. 37
  38. 100
  39. 72
  40. 28

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