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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 882 · 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 85°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 123°. What is its corresponding angle (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 108° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 49°. 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 44°. What is the angle vertically opposite to it (in degrees)?
  7. 7.What is the supplement of 148° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its other interior angle on the same side of the transversal (in degrees)?
  9. 9.What is the complement of 55° (in degrees)?
  10. 10.What is the supplement of 73° (in degrees)?
  11. 11.Are 29° and 151° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.What is the supplement of 54° (in degrees)?
  13. 13.What is the complement of 56° (in degrees)?
  14. 14.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the complement of 7° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 124° (in degrees)?
  19. 19.What is the supplement of 118° (in degrees)?
  20. 20.What is the supplement of 129° (in degrees)?
  21. 21.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 47° (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 40°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the supplement of 33° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 45°. What is its corresponding angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  33. 33.What is the complement of 72° (in degrees)?
  34. 34.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the complement of 80° (in degrees)?
  38. 38.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 43° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?

Answer key

  1. 95
  2. 123
  3. 89
  4. 144
  5. 131
  6. 44
  7. 32
  8. 105
  9. 35
  10. 107
  11. Supplementary
  12. 126
  13. 34
  14. 96
  15. 83
  16. 121
  17. 44
  18. 56
  19. 62
  20. 51
  21. 69
  22. 128
  23. 151
  24. 45
  25. 43
  26. 37
  27. 40
  28. 147
  29. 112
  30. 109
  31. 45
  32. 132
  33. 18
  34. 75
  35. 59
  36. 159
  37. 10
  38. 47
  39. 47
  40. 150

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