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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 842 · 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.What is the supplement of 27° (in degrees)?
  2. 2.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)?
  3. 3.What is the supplement of 54° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 41° and 70° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.What is the complement of 32° (in degrees)?
  8. 8.What is the complement of 34° (in degrees)?
  9. 9.What is the supplement of 117° (in degrees)?
  10. 10.Are 54° and 126° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 41° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 81°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.What is the complement of 7° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  17. 17.What is the complement of 56° (in degrees)?
  18. 18.Are 51° and 115° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 21° (in degrees)?
  21. 21.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 9° (in degrees)?
  23. 23.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 22° and 158° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Two parallel lines are cut by a transversal. One angle is 56°. What is its corresponding angle (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 59° and 121° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the complement of 42° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its alternate interior angle (in degrees)?
  34. 34.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 26° (in degrees)?
  36. 36.What is the complement of 46° (in degrees)?
  37. 37.What is the supplement of 168° (in degrees)?
  38. 38.Are 55° and 165° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the supplement of 166° (in degrees)?

Answer key

  1. 153
  2. 73
  3. 126
  4. 135
  5. 55
  6. Neither
  7. 58
  8. 56
  9. 63
  10. Supplementary
  11. 54
  12. 49
  13. 81
  14. Complementary
  15. 83
  16. 155
  17. 34
  18. Neither
  19. 63
  20. 69
  21. 110
  22. 171
  23. 51
  24. 159
  25. 125
  26. Supplementary
  27. 56
  28. 102
  29. 80
  30. Supplementary
  31. 74
  32. 48
  33. 62
  34. 139
  35. 154
  36. 44
  37. 12
  38. Neither
  39. 106
  40. 14

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