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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 647 · 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.What is the supplement of 161° (in degrees)?
  2. 2.What is the supplement of 141° (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 46°. What is the angle next to it on the same line (in degrees)?
  4. 4.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its other interior angle on the same side of the transversal (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 121°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the complement of 76° (in degrees)?
  10. 10.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 160°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  14. 14.What is the supplement of 29° (in degrees)?
  15. 15.What is the complement of 41° (in degrees)?
  16. 16.What is the supplement of 165° (in degrees)?
  17. 17.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  19. 19.What is the supplement of 39° (in degrees)?
  20. 20.What is the complement of 47° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the supplement of 18° (in degrees)?
  23. 23.Are 34° and 56° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  25. 25.Are 61° and 119° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  27. 27.What is the supplement of 65° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?
  29. 29.Two angles are supplementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 123°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.What is the complement of 58° (in degrees)?
  33. 33.Are 50° and 130° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  34. 34.Two straight lines cross each other. One of the angles formed is 25°. What is the angle next to it on the same line (in degrees)?
  35. 35.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 22° (in degrees)?
  40. 40.Are 36° and 54° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 19
  2. 39
  3. 134
  4. 157
  5. 118
  6. 116
  7. 59
  8. 68
  9. 14
  10. 61
  11. 104
  12. 160
  13. Supplementary
  14. 151
  15. 49
  16. 15
  17. 143
  18. 145
  19. 141
  20. 43
  21. 154
  22. 162
  23. Complementary
  24. 100
  25. Supplementary
  26. 60
  27. 115
  28. 72
  29. 119
  30. 111
  31. 57
  32. 32
  33. Supplementary
  34. 155
  35. 69
  36. 137
  37. 117
  38. 62
  39. 68
  40. Complementary

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