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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 249 · 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 84° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its alternate interior angle (in degrees)?
  4. 4.What is the complement of 36° (in degrees)?
  5. 5.What is the supplement of 9° (in degrees)?
  6. 6.What is the supplement of 158° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 79°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Are 62° and 28° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  10. 10.What is the complement of 28° (in degrees)?
  11. 11.Are 39° and 141° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 69° (in degrees)?
  14. 14.What is the complement of 41° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 21° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  20. 20.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)?
  21. 21.What is the supplement of 18° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 71° and 109° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Are 28° and 152° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  25. 25.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  27. 27.What is the supplement of 8° (in degrees)?
  28. 28.Two angles are supplementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the complement of 77° (in degrees)?
  30. 30.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  31. 31.Are 22° and 47° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  32. 32.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
  34. 34.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 116° (in degrees)?
  36. 36.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 61° and 119° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Are 33° and 57° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither

Answer key

  1. 6
  2. 104
  3. 66
  4. 54
  5. 171
  6. 22
  7. 77
  8. 79
  9. Complementary
  10. 62
  11. Supplementary
  12. 64
  13. 111
  14. 49
  15. 95
  16. 159
  17. 50
  18. 152
  19. 49
  20. 110
  21. 162
  22. 25
  23. Supplementary
  24. Supplementary
  25. 133
  26. 89
  27. 172
  28. 95
  29. 13
  30. 115
  31. Neither
  32. 116
  33. 76
  34. 123
  35. 64
  36. 51
  37. Supplementary
  38. 116
  39. 78
  40. Complementary

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