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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 206 · 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 123°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its alternate interior angle (in degrees)?
  3. 3.What is the supplement of 96° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the complement of 73° (in degrees)?
  6. 6.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 13° (in degrees)?
  8. 8.What is the supplement of 70° (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 40°. What is its corresponding angle (in degrees)?
  11. 11.What is the complement of 49° (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 28°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 38° and 142° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.What is the complement of 12° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  17. 17.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  18. 18.What is the complement of 36° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 61°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 11° (in degrees)?
  21. 21.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 44°. What is its corresponding angle (in degrees)?
  25. 25.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the complement of 21° (in degrees)?
  27. 27.What is the supplement of 44° (in degrees)?
  28. 28.What is the complement of 63° (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 49°. What is its corresponding angle (in degrees)?
  30. 30.Are 60° and 144° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Are 55° and 125° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  34. 34.What is the supplement of 154° (in degrees)?
  35. 35.Are 32° and 58° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  36. 36.What is the supplement of 161° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 31°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 30° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 40°. What is the angle next to it on the same line (in degrees)?
  40. 40.What is the complement of 52° (in degrees)?

Answer key

  1. 123
  2. 39
  3. 84
  4. 26
  5. 17
  6. 121
  7. 77
  8. 110
  9. 66
  10. 40
  11. 41
  12. 43
  13. 28
  14. Supplementary
  15. 78
  16. 48
  17. 46
  18. 54
  19. 61
  20. 79
  21. 57
  22. 121
  23. 150
  24. 44
  25. 150
  26. 69
  27. 136
  28. 27
  29. 49
  30. Neither
  31. Supplementary
  32. 144
  33. 57
  34. 26
  35. Complementary
  36. 19
  37. 31
  38. 60
  39. 140
  40. 38

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