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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 28 · 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 complement of 12° (in degrees)?
  2. 2.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.What is the supplement of 115° (in degrees)?
  4. 4.What is the complement of 16° (in degrees)?
  5. 5.What is the supplement of 152° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  7. 7.What is the supplement of 51° (in degrees)?
  8. 8.What is the supplement of 114° (in degrees)?
  9. 9.What is the complement of 61° (in degrees)?
  10. 10.Are 55° and 125° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.What is the complement of 41° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two angles are supplementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  14. 14.What is the complement of 83° (in degrees)?
  15. 15.Are 27° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  16. 16.What is the supplement of 53° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 100°. What is the angle next to it on the same line (in degrees)?
  19. 19.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 32° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.Are 10° and 97° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  32. 32.What is the complement of 67° (in degrees)?
  33. 33.What is the supplement of 7° (in degrees)?
  34. 34.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  37. 37.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)?
  38. 38.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 17° (in degrees)?
  40. 40.Are 75° and 105° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 78
  2. Complementary
  3. 65
  4. 74
  5. 28
  6. 111
  7. 129
  8. 66
  9. 29
  10. Supplementary
  11. 49
  12. 41
  13. 107
  14. 7
  15. Supplementary
  16. 127
  17. 28
  18. 80
  19. 58
  20. 92
  21. 75
  22. 135
  23. 137
  24. 69
  25. 54
  26. 58
  27. 98
  28. Neither
  29. 67
  30. 85
  31. 142
  32. 23
  33. 173
  34. 132
  35. 144
  36. 120
  37. 137
  38. 80
  39. 163
  40. Supplementary

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