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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 950 · 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 159°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 47°. What is its corresponding angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.What is the supplement of 55° (in degrees)?
  8. 8.What is the supplement of 173° (in degrees)?
  9. 9.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 129°. What is its corresponding angle (in degrees)?
  11. 11.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 38° (in degrees)?
  13. 13.What is the supplement of 37° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 95°. What is its corresponding angle (in degrees)?
  15. 15.What is the complement of 5° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 117°. 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 118°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the supplement of 51° (in degrees)?
  19. 19.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the supplement of 25° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 97°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the supplement of 153° (in degrees)?
  23. 23.Are 30° and 150° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  25. 25.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 139°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
  28. 28.What is the complement of 35° (in degrees)?
  29. 29.What is the supplement of 47° (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 49°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the complement of 30° (in degrees)?
  32. 32.What is the supplement of 106° (in degrees)?
  33. 33.Two straight lines cross each other. One of the angles formed is 63°. What is the angle next to it on the same line (in degrees)?
  34. 34.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its alternate interior angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 117°. What is the angle next to it on the same line (in degrees)?
  37. 37.Are 48° and 42° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Are 55° and 125° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the supplement of 19° (in degrees)?
  40. 40.What is the supplement of 143° (in degrees)?

Answer key

  1. 159
  2. 47
  3. 32
  4. 49
  5. 128
  6. 90
  7. 125
  8. 7
  9. 63
  10. 129
  11. 77
  12. 142
  13. 143
  14. 95
  15. 85
  16. 63
  17. 62
  18. 129
  19. 46
  20. 155
  21. 83
  22. 27
  23. Supplementary
  24. 38
  25. 96
  26. 41
  27. 25
  28. 55
  29. 133
  30. 131
  31. 60
  32. 74
  33. 117
  34. 59
  35. 122
  36. 63
  37. Complementary
  38. Supplementary
  39. 161
  40. 37

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