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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 660 · 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 48° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Are 72° and 84° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.What is the complement of 19° (in degrees)?
  5. 5.Are 39° and 141° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.What is the supplement of 11° (in degrees)?
  7. 7.What is the supplement of 140° (in degrees)?
  8. 8.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 99°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 28° and 85° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 16° and 139° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 93°. What is its corresponding angle (in degrees)?
  19. 19.What is the complement of 78° (in degrees)?
  20. 20.What is the supplement of 20° (in degrees)?
  21. 21.What is the complement of 12° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?
  23. 23.What is the supplement of 71° (in degrees)?
  24. 24.What is the complement of 72° (in degrees)?
  25. 25.What is the supplement of 159° (in degrees)?
  26. 26.What is the supplement of 43° (in degrees)?
  27. 27.What is the supplement of 151° (in degrees)?
  28. 28.What is the supplement of 168° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 138°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 30°. What is its corresponding angle (in degrees)?
  34. 34.What is the complement of 51° (in degrees)?
  35. 35.What is the complement of 42° (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 47°. What is its corresponding angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 77° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 69
  2. 158
  3. Neither
  4. 71
  5. Supplementary
  6. 169
  7. 40
  8. 111
  9. 81
  10. 31
  11. Neither
  12. 99
  13. 90
  14. Neither
  15. 111
  16. 80
  17. 108
  18. 93
  19. 12
  20. 160
  21. 78
  22. 103
  23. 109
  24. 18
  25. 21
  26. 137
  27. 29
  28. 12
  29. 138
  30. 42
  31. 106
  32. 49
  33. 30
  34. 39
  35. 48
  36. 47
  37. 136
  38. 155
  39. 103
  40. 134

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