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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 666 · 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 angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the supplement of 18° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 108°. What is its corresponding angle (in degrees)?
  5. 5.What is the supplement of 137° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 47°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 91°. What is the angle vertically opposite to it (in degrees)?
  9. 9.What is the supplement of 174° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 32°. What is its corresponding angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 102°. What is its other interior angle on the same side of the transversal (in degrees)?
  12. 12.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 17° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its alternate interior angle (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 102°. What is the angle next to it on the same line (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 146°. What is its alternate interior angle (in degrees)?
  18. 18.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the complement of 13° (in degrees)?
  20. 20.What is the supplement of 165° (in degrees)?
  21. 21.Are 53° and 149° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  23. 23.Are 37° and 143° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.What is the complement of 36° (in degrees)?
  27. 27.Are 23° and 131° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  28. 28.What is the supplement of 7° (in degrees)?
  29. 29.What is the supplement of 126° (in degrees)?
  30. 30.What is the complement of 59° (in degrees)?
  31. 31.What is the supplement of 39° (in degrees)?
  32. 32.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)?
  33. 33.What is the complement of 30° (in degrees)?
  34. 34.What is the complement of 58° (in degrees)?
  35. 35.What is the supplement of 142° (in degrees)?
  36. 36.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 160° (in degrees)?
  38. 38.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 23°. What is the angle next to it on the same line (in degrees)?
  40. 40.Are 76° and 14° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 129
  2. 162
  3. 101
  4. 108
  5. 43
  6. 147
  7. 133
  8. 91
  9. 6
  10. 32
  11. 78
  12. 149
  13. 73
  14. 121
  15. 82
  16. 78
  17. 146
  18. 109
  19. 77
  20. 15
  21. Neither
  22. 65
  23. Supplementary
  24. 57
  25. 67
  26. 54
  27. Neither
  28. 173
  29. 54
  30. 31
  31. 141
  32. 90
  33. 60
  34. 32
  35. 38
  36. 154
  37. 20
  38. 46
  39. 157
  40. Complementary

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