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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 591 · 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 30° (in degrees)?
  2. 2.What is the supplement of 156° (in degrees)?
  3. 3.Are 59° and 31° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  5. 5.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Two angles are supplementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the supplement of 101° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its alternate interior angle (in degrees)?
  9. 9.Are 77° and 103° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Are 73° and 17° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  12. 12.Are 44° and 136° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  13. 13.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two angles are supplementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 161° (in degrees)?
  16. 16.What is the supplement of 24° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Are 60° and 120° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  19. 19.What is the supplement of 165° (in degrees)?
  20. 20.What is the complement of 17° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 105°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 84°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the supplement of 36° (in degrees)?
  25. 25.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 24° and 133° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  27. 27.What is the complement of 10° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the supplement of 67° (in degrees)?
  30. 30.Are 27° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.Two parallel lines are cut by a transversal. One angle is 64°. What is its corresponding angle (in degrees)?
  32. 32.What is the complement of 67° (in degrees)?
  33. 33.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 79° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 36° (in degrees)?
  38. 38.Are 44° and 28° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.What is the complement of 47° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 60
  2. 24
  3. Complementary
  4. 104
  5. Complementary
  6. 125
  7. 79
  8. 134
  9. Supplementary
  10. Complementary
  11. 144
  12. Supplementary
  13. 30
  14. 104
  15. 19
  16. 156
  17. 126
  18. Supplementary
  19. 15
  20. 73
  21. 75
  22. 96
  23. 139
  24. 144
  25. 142
  26. Neither
  27. 80
  28. 24
  29. 113
  30. Supplementary
  31. 64
  32. 23
  33. 71
  34. 110
  35. 101
  36. 82
  37. 54
  38. Neither
  39. 43
  40. 57

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