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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 870 · 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 23° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 134°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the complement of 54° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 71°. What is the angle next to it on the same line (in degrees)?
  6. 6.What is the supplement of 23° (in degrees)?
  7. 7.Are 50° and 124° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  9. 9.Are 23° and 61° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 12° and 168° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two straight lines cross each other. One of the angles formed is 87°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 115° (in degrees)?
  14. 14.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 68° (in degrees)?
  16. 16.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  17. 17.Are 70° and 20° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  19. 19.What is the supplement of 37° (in degrees)?
  20. 20.What is the supplement of 135° (in degrees)?
  21. 21.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two angles are supplementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  23. 23.What is the supplement of 50° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 65° (in degrees)?
  26. 26.What is the supplement of 11° (in degrees)?
  27. 27.What is the complement of 49° (in degrees)?
  28. 28.What is the supplement of 131° (in degrees)?
  29. 29.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)?
  30. 30.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the supplement of 52° (in degrees)?
  34. 34.Are 42° and 55° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 36°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 107°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 18° and 72° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  39. 39.Are 77° and 65° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  40. 40.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 67
  2. 46
  3. 36
  4. 110
  5. 109
  6. 157
  7. Neither
  8. 98
  9. Neither
  10. 146
  11. Supplementary
  12. 87
  13. 65
  14. 62
  15. 22
  16. 51
  17. Complementary
  18. 101
  19. 143
  20. 45
  21. 121
  22. 98
  23. 130
  24. 115
  25. 115
  26. 169
  27. 41
  28. 49
  29. 73
  30. 122
  31. 151
  32. 24
  33. 128
  34. Neither
  35. 50
  36. 36
  37. 107
  38. Complementary
  39. Neither
  40. 118

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