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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 155 · 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 straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Are 80° and 159° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Are 23° and 67° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two straight lines cross each other. One of the angles formed is 130°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  6. 6.What is the supplement of 33° (in degrees)?
  7. 7.What is the complement of 64° (in degrees)?
  8. 8.What is the complement of 65° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the supplement of 66° (in degrees)?
  12. 12.What is the supplement of 134° (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
  14. 14.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 18° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.Are 17° and 85° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  19. 19.Are 27° and 148° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  20. 20.What is the complement of 49° (in degrees)?
  21. 21.What is the supplement of 67° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 54°. What is its corresponding angle (in degrees)?
  23. 23.What is the supplement of 16° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 88°. What is its corresponding angle (in degrees)?
  25. 25.Are 30° and 82° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.What is the supplement of 75° (in degrees)?
  27. 27.What is the supplement of 69° (in degrees)?
  28. 28.What is the supplement of 64° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 153°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the supplement of 123° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 137°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 27° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 139°. What is its corresponding angle (in degrees)?
  34. 34.What is the supplement of 169° (in degrees)?
  35. 35.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the supplement of 20° (in degrees)?
  37. 37.What is the complement of 29° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 58°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its alternate interior angle (in degrees)?
  40. 40.Are 17° and 163° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 39
  2. Neither
  3. Complementary
  4. 50
  5. 86
  6. 147
  7. 26
  8. 25
  9. 82
  10. 131
  11. 114
  12. 46
  13. 42
  14. 73
  15. 47
  16. 162
  17. 83
  18. Neither
  19. Neither
  20. 41
  21. 113
  22. 54
  23. 164
  24. 88
  25. Neither
  26. 105
  27. 111
  28. 116
  29. 153
  30. 57
  31. 137
  32. 63
  33. 139
  34. 11
  35. 54
  36. 160
  37. 61
  38. 58
  39. 110
  40. Supplementary

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