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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 34 · 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 124°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the supplement of 13° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  4. 4.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  5. 5.What is the supplement of 92° (in degrees)?
  6. 6.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 79° (in degrees)?
  8. 8.What is the complement of 74° (in degrees)?
  9. 9.Are 75° and 15° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  10. 10.What is the complement of 56° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 89°. What is the angle vertically opposite to it (in degrees)?
  12. 12.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the supplement of 146° (in degrees)?
  14. 14.What is the complement of 63° (in degrees)?
  15. 15.What is the complement of 30° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  17. 17.What is the supplement of 150° (in degrees)?
  18. 18.Are 57° and 61° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  19. 19.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)?
  20. 20.Are 45° and 45° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  21. 21.What is the supplement of 162° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  23. 23.What is the complement of 12° (in degrees)?
  24. 24.What is the complement of 83° (in degrees)?
  25. 25.What is the complement of 25° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  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.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the supplement of 22° (in degrees)?
  30. 30.Are 19° and 71° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  33. 33.Are 46° and 46° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 144°. What is its corresponding angle (in degrees)?
  36. 36.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  39. 39.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 124
  2. 167
  3. 89
  4. 126
  5. 88
  6. 122
  7. 11
  8. 16
  9. Complementary
  10. 34
  11. 89
  12. 99
  13. 34
  14. 27
  15. 60
  16. 141
  17. 30
  18. Neither
  19. 147
  20. Complementary
  21. 18
  22. 40
  23. 78
  24. 7
  25. 65
  26. 42
  27. 60
  28. 64
  29. 158
  30. Complementary
  31. 158
  32. 51
  33. Neither
  34. 157
  35. 144
  36. 131
  37. 65
  38. 31
  39. 57
  40. 56

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