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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 449 · 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 112°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two angles are supplementary. One is 112° more than the other. What is the bigger angle (in degrees)?
  3. 3.Are 28° and 62° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the complement of 18° (in degrees)?
  8. 8.What is the complement of 85° (in degrees)?
  9. 9.Are 57° and 33° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.What is the supplement of 53° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  13. 13.What is the supplement of 32° (in degrees)?
  14. 14.What is the complement of 67° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
  16. 16.Are 30° and 150° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  18. 18.What is the supplement of 130° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 112°. What is its alternate interior angle (in degrees)?
  20. 20.What is the supplement of 121° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  23. 23.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 36° and 54° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 115°. What is its corresponding angle (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Are 77° and 21° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 87° (in degrees)?
  34. 34.What is the supplement of 54° (in degrees)?
  35. 35.What is the supplement of 51° (in degrees)?
  36. 36.What is the complement of 22° (in degrees)?
  37. 37.What is the supplement of 50° (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 37°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 54° (in degrees)?
  40. 40.Two angles are complementary. One is 56° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 112
  2. 146
  3. Complementary
  4. 50
  5. 59
  6. 82
  7. 72
  8. 5
  9. Complementary
  10. 127
  11. 59
  12. 149
  13. 148
  14. 23
  15. 147
  16. Supplementary
  17. 83
  18. 50
  19. 112
  20. 59
  21. 89
  22. Complementary
  23. 22
  24. 57
  25. 108
  26. Complementary
  27. 73
  28. 115
  29. 24
  30. Neither
  31. 51
  32. 100
  33. 93
  34. 126
  35. 129
  36. 68
  37. 130
  38. 37
  39. 36
  40. 73

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