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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 424 · 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 136°. What is its alternate interior angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  3. 3.What is the supplement of 111° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  5. 5.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  6. 6.What is the complement of 38° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 64°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 140° (in degrees)?
  10. 10.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 151° (in degrees)?
  12. 12.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 18° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 74°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Are 19° and 119° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  17. 17.Are 79° and 101° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.What is the supplement of 34° (in degrees)?
  19. 19.What is the supplement of 8° (in degrees)?
  20. 20.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the complement of 67° (in degrees)?
  23. 23.What is the complement of 50° (in degrees)?
  24. 24.What is the supplement of 38° (in degrees)?
  25. 25.Are 74° and 26° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  27. 27.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the supplement of 163° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the complement of 17° (in degrees)?
  32. 32.What is the complement of 45° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 41°. What is its alternate interior angle (in degrees)?
  34. 34.What is the complement of 27° (in degrees)?
  35. 35.What is the supplement of 128° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 32°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 65° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  39. 39.Are 72° and 18° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  40. 40.What is the complement of 82° (in degrees)?

Answer key

  1. 136
  2. 74
  3. 69
  4. 89
  5. 63
  6. 52
  7. 96
  8. 64
  9. 40
  10. 99
  11. 29
  12. 151
  13. 72
  14. 150
  15. 74
  16. Neither
  17. Supplementary
  18. 146
  19. 172
  20. 97
  21. 127
  22. 23
  23. 40
  24. 142
  25. Neither
  26. 106
  27. 80
  28. 42
  29. 17
  30. 65
  31. 73
  32. 45
  33. 41
  34. 63
  35. 52
  36. 32
  37. 25
  38. 59
  39. Complementary
  40. 8

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