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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 75 · 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 47°. What is its alternate interior angle (in degrees)?
  2. 2.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 62° (in degrees)?
  4. 4.What is the complement of 5° (in degrees)?
  5. 5.Are 64° and 26° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  6. 6.What is the supplement of 41° (in degrees)?
  7. 7.What is the supplement of 120° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its alternate interior angle (in degrees)?
  9. 9.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
  12. 12.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?
  14. 14.What is the complement of 6° (in degrees)?
  15. 15.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 109° (in degrees)?
  18. 18.What is the complement of 28° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (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.Two straight lines cross each other. One of the angles formed is 111°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the supplement of 20° (in degrees)?
  23. 23.What is the supplement of 42° (in degrees)?
  24. 24.What is the complement of 54° (in degrees)?
  25. 25.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 33° and 147° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
  28. 28.What is the complement of 11° (in degrees)?
  29. 29.Are 65° and 115° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  30. 30.What is the supplement of 83° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 156°. What is the angle vertically opposite to it (in degrees)?
  34. 34.What is the complement of 57° (in degrees)?
  35. 35.What is the complement of 83° (in degrees)?
  36. 36.Are 19° and 161° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  37. 37.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Are 25° and 10° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  39. 39.What is the supplement of 162° (in degrees)?
  40. 40.What is the complement of 71° (in degrees)?

Answer key

  1. 47
  2. 53
  3. 28
  4. 85
  5. Complementary
  6. 139
  7. 60
  8. 142
  9. 100
  10. 62
  11. 86
  12. 75
  13. 114
  14. 84
  15. 67
  16. 73
  17. 71
  18. 62
  19. 138
  20. 23
  21. 69
  22. 160
  23. 138
  24. 36
  25. 51
  26. Supplementary
  27. 60
  28. 79
  29. Supplementary
  30. 97
  31. 43
  32. 129
  33. 156
  34. 33
  35. 7
  36. Supplementary
  37. 40
  38. Neither
  39. 18
  40. 19

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