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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 871 · 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.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 57° (in degrees)?
  3. 3.Are 68° and 22° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.What is the supplement of 174° (in degrees)?
  5. 5.What is the supplement of 66° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 42° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 112° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 35°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 143° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 58°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Are 60° and 120° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.What is the supplement of 126° (in degrees)?
  15. 15.What is the complement of 48° (in degrees)?
  16. 16.What is the complement of 59° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  18. 18.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the complement of 66° (in degrees)?
  22. 22.What is the supplement of 6° (in degrees)?
  23. 23.What is the complement of 82° (in degrees)?
  24. 24.Are 52° and 128° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  25. 25.Are 48° and 132° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  26. 26.What is the supplement of 73° (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 105°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 175° (in degrees)?
  30. 30.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 74° and 16° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.What is the supplement of 31° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 150°. What is its corresponding angle (in degrees)?
  34. 34.What is the complement of 41° (in degrees)?
  35. 35.Are 55° and 125° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.What is the supplement of 20° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its alternate interior angle (in degrees)?
  38. 38.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the supplement of 76° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its other interior angle on the same side of the transversal (in degrees)?

Answer key

  1. 96
  2. 123
  3. Complementary
  4. 6
  5. 114
  6. 50
  7. 48
  8. 147
  9. 68
  10. 35
  11. 37
  12. 58
  13. Supplementary
  14. 54
  15. 42
  16. 31
  17. 87
  18. 78
  19. 45
  20. 23
  21. 24
  22. 174
  23. 8
  24. Supplementary
  25. Supplementary
  26. 107
  27. 105
  28. 79
  29. 5
  30. 62
  31. Complementary
  32. 149
  33. 150
  34. 49
  35. Supplementary
  36. 160
  37. 63
  38. 97
  39. 104
  40. 140

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