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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 810 · 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.Are 29° and 47° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  2. 2.Are 35° and 55° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  3. 3.Are 67° and 113° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.What is the complement of 57° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
  6. 6.What is the supplement of 29° (in degrees)?
  7. 7.What is the supplement of 38° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 43° (in degrees)?
  12. 12.What is the supplement of 141° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 59°. What is the angle next to it on the same line (in degrees)?
  14. 14.What is the supplement of 7° (in degrees)?
  15. 15.What is the complement of 26° (in degrees)?
  16. 16.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Are 41° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Are 57° and 10° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 66° (in degrees)?
  24. 24.What is the supplement of 8° (in degrees)?
  25. 25.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  27. 27.What is the supplement of 20° (in degrees)?
  28. 28.What is the supplement of 6° (in degrees)?
  29. 29.What is the supplement of 85° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 47° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 83°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  35. 35.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)?
  36. 36.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 103° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  40. 40.What is the complement of 28° (in degrees)?

Answer key

  1. Neither
  2. Complementary
  3. Supplementary
  4. 33
  5. 114
  6. 151
  7. 142
  8. 78
  9. 150
  10. 58
  11. 137
  12. 39
  13. 121
  14. 173
  15. 64
  16. 127
  17. 62
  18. Complementary
  19. Neither
  20. Neither
  21. 137
  22. 133
  23. 24
  24. 172
  25. 49
  26. 149
  27. 160
  28. 174
  29. 95
  30. 56
  31. 133
  32. 83
  33. 101
  34. 47
  35. 22
  36. 159
  37. 77
  38. 134
  39. 104
  40. 62

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