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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 688 · 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 complement of 11° (in degrees)?
  2. 2.Are 40° and 116° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  3. 3.Two angles are complementary. One is 68° 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 22°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its alternate interior angle (in degrees)?
  6. 6.What is the supplement of 127° (in degrees)?
  7. 7.Two angles are supplementary. One is 92° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 66° and 114° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the supplement of 27° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 57° (in degrees)?
  12. 12.What is the supplement of 19° (in degrees)?
  13. 13.What is the supplement of 15° (in degrees)?
  14. 14.What is the complement of 18° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its alternate interior angle (in degrees)?
  16. 16.What is the supplement of 17° (in degrees)?
  17. 17.What is the supplement of 91° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  19. 19.What is the supplement of 11° (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 113°. What is its alternate interior angle (in degrees)?
  22. 22.What is the supplement of 140° (in degrees)?
  23. 23.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)?
  24. 24.What is the complement of 17° (in degrees)?
  25. 25.Two angles are supplementary. One is 22° 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 33°. 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 24°. What is the angle vertically opposite to it (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 22°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  32. 32.What is the complement of 19° (in degrees)?
  33. 33.What is the supplement of 162° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 43°. What is its alternate interior angle (in degrees)?
  35. 35.What is the supplement of 81° (in degrees)?
  36. 36.What is the supplement of 30° (in degrees)?
  37. 37.Are 37° and 143° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two parallel lines are cut by a transversal. One angle is 121°. What is its corresponding angle (in degrees)?
  39. 39.What is the complement of 26° (in degrees)?
  40. 40.Are 46° and 44° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary

Answer key

  1. 79
  2. Neither
  3. 79
  4. 22
  5. 142
  6. 53
  7. 136
  8. Supplementary
  9. 153
  10. 147
  11. 123
  12. 161
  13. 165
  14. 72
  15. 104
  16. 163
  17. 89
  18. 94
  19. 169
  20. 93
  21. 113
  22. 40
  23. 116
  24. 73
  25. 101
  26. 147
  27. 24
  28. 150
  29. 158
  30. 94
  31. 30
  32. 71
  33. 18
  34. 43
  35. 99
  36. 150
  37. Supplementary
  38. 121
  39. 64
  40. Complementary

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