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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 526 · 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 angle is 138°. What is its corresponding angle (in degrees)?
  2. 2.What is the supplement of 35° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  4. 4.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the complement of 19° (in degrees)?
  6. 6.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  7. 7.Are 57° and 123° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the supplement of 155° (in degrees)?
  10. 10.What is the complement of 5° (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 71°. What is its corresponding angle (in degrees)?
  12. 12.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 40° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the complement of 23° (in degrees)?
  17. 17.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 24° and 156° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  19. 19.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 108°. What is the angle vertically opposite to it (in degrees)?
  22. 22.What is the supplement of 78° (in degrees)?
  23. 23.What is the complement of 81° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Are 77° and 103° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.What is the supplement of 54° (in degrees)?
  28. 28.What is the supplement of 159° (in degrees)?
  29. 29.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 56° and 34° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two parallel lines are cut by a transversal. One angle is 146°. What is its corresponding angle (in degrees)?
  32. 32.Are 17° and 163° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  33. 33.What is the complement of 76° (in degrees)?
  34. 34.What is the supplement of 136° (in degrees)?
  35. 35.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 71° and 109° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.What is the complement of 58° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 119°. What is its corresponding angle (in degrees)?

Answer key

  1. 138
  2. 145
  3. 116
  4. 46
  5. 71
  6. 124
  7. Supplementary
  8. 137
  9. 25
  10. 85
  11. 71
  12. 155
  13. 50
  14. 38
  15. 107
  16. 67
  17. 106
  18. Supplementary
  19. 100
  20. 44
  21. 108
  22. 102
  23. 9
  24. 38
  25. 73
  26. Supplementary
  27. 126
  28. 21
  29. 60
  30. Complementary
  31. 146
  32. Supplementary
  33. 14
  34. 44
  35. 102
  36. 111
  37. Supplementary
  38. 95
  39. 32
  40. 119

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