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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 113 · 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 91° (in degrees)?
  2. 2.What is the complement of 81° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its alternate interior angle (in degrees)?
  4. 4.What is the complement of 62° (in degrees)?
  5. 5.What is the supplement of 131° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Are 65° and 55° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Are 56° and 34° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.Two angles are supplementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 83° (in degrees)?
  12. 12.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the supplement of 102° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the supplement of 18° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 65°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 51° and 39° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 17° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 53°. What is the angle next to it on the same line (in degrees)?
  27. 27.Are 20° and 70° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.Are 40° and 19° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  29. 29.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  30. 30.What is the complement of 8° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  32. 32.What is the supplement of 34° (in degrees)?
  33. 33.What is the complement of 27° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  35. 35.What is the complement of 52° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 52°. What is the angle next to it on the same line (in degrees)?
  37. 37.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  38. 38.Are 67° and 113° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the complement of 29° (in degrees)?
  40. 40.Are 26° and 64° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 89
  2. 9
  3. 65
  4. 28
  5. 49
  6. 55
  7. Neither
  8. 75
  9. Complementary
  10. 112
  11. 97
  12. 47
  13. 146
  14. 105
  15. 78
  16. 115
  17. 86
  18. 35
  19. 71
  20. 162
  21. 65
  22. Complementary
  23. 92
  24. 101
  25. 163
  26. 127
  27. Complementary
  28. Neither
  29. 53
  30. 82
  31. 26
  32. 146
  33. 63
  34. 106
  35. 38
  36. 128
  37. 151
  38. Supplementary
  39. 61
  40. Complementary

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