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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 764 · 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 83°. What is the angle vertically opposite to it (in degrees)?
  2. 2.What is the complement of 19° (in degrees)?
  3. 3.What is the complement of 49° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 90°. What is its corresponding angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its other interior angle on the same side of the transversal (in degrees)?
  6. 6.What is the supplement of 124° (in degrees)?
  7. 7.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 56°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two angles are supplementary. One is 116° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the complement of 64° (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Are 15° and 54° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.What is the supplement of 120° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 91°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  18. 18.Are 12° and 168° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  19. 19.What is the complement of 23° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 96°. What is its corresponding angle (in degrees)?
  23. 23.What is the complement of 71° (in degrees)?
  24. 24.What is the complement of 62° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 101°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its alternate interior angle (in degrees)?
  28. 28.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its alternate interior angle (in degrees)?
  30. 30.What is the complement of 28° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 152°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 27° (in degrees)?
  33. 33.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 51°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the supplement of 157° (in degrees)?
  36. 36.What is the supplement of 162° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  38. 38.What is the complement of 45° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 44°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 83
  2. 71
  3. 41
  4. 90
  5. 86
  6. 56
  7. 109
  8. 105
  9. 123
  10. 56
  11. 148
  12. 26
  13. 157
  14. Neither
  15. 60
  16. 89
  17. 142
  18. Supplementary
  19. 67
  20. 111
  21. 121
  22. 96
  23. 19
  24. 28
  25. 101
  26. 117
  27. 144
  28. 48
  29. 54
  30. 62
  31. 152
  32. 63
  33. 139
  34. 129
  35. 23
  36. 18
  37. 55
  38. 45
  39. 44
  40. 25

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