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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 868 · 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 85°. What is the angle next to it on the same line (in degrees)?
  2. 2.What is the supplement of 168° (in degrees)?
  3. 3.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 132°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the supplement of 147° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 93°. What is its corresponding angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its alternate interior angle (in degrees)?
  8. 8.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 22°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 56° and 124° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 94°. What is the angle vertically opposite to it (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.What is the complement of 20° (in degrees)?
  17. 17.What is the supplement of 15° (in degrees)?
  18. 18.What is the supplement of 130° (in degrees)?
  19. 19.What is the supplement of 125° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the complement of 44° (in degrees)?
  22. 22.What is the complement of 5° (in degrees)?
  23. 23.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the complement of 11° (in degrees)?
  26. 26.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the complement of 27° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  29. 29.Are 51° and 127° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  30. 30.What is the supplement of 121° (in degrees)?
  31. 31.What is the supplement of 103° (in degrees)?
  32. 32.Are 25° and 34° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  33. 33.Two parallel lines are cut by a transversal. One angle is 105°. What is its corresponding angle (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 112°. What is the angle next to it on the same line (in degrees)?
  35. 35.What is the complement of 32° (in degrees)?
  36. 36.What is the complement of 60° (in degrees)?
  37. 37.What is the complement of 85° (in degrees)?
  38. 38.What is the supplement of 71° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 115°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 95
  2. 12
  3. 142
  4. 132
  5. 33
  6. 93
  7. 89
  8. 63
  9. 22
  10. Supplementary
  11. 156
  12. 114
  13. 48
  14. 94
  15. 133
  16. 70
  17. 165
  18. 50
  19. 55
  20. 120
  21. 46
  22. 85
  23. 105
  24. 78
  25. 79
  26. 68
  27. 63
  28. 130
  29. Neither
  30. 59
  31. 77
  32. Neither
  33. 105
  34. 68
  35. 58
  36. 30
  37. 5
  38. 109
  39. 65
  40. 65

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