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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 596 · 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 complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 34°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  4. 4.What is the complement of 39° (in degrees)?
  5. 5.What is the complement of 34° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 114°. What is its corresponding angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
  8. 8.Are 75° and 15° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the supplement of 40° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 70°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 87° (in degrees)?
  12. 12.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  14. 14.What is the supplement of 53° (in degrees)?
  15. 15.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  17. 17.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 137°. What is its corresponding angle (in degrees)?
  19. 19.What is the supplement of 106° (in degrees)?
  20. 20.What is the supplement of 8° (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its alternate interior angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Are 61° and 29° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  25. 25.What is the supplement of 26° (in degrees)?
  26. 26.What is the complement of 41° (in degrees)?
  27. 27.Are 60° and 30° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 149°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 64° (in degrees)?
  30. 30.What is the complement of 57° (in degrees)?
  31. 31.Are 78° and 102° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  32. 32.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  33. 33.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the supplement of 172° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the supplement of 39° (in degrees)?
  37. 37.What is the supplement of 31° (in degrees)?
  38. 38.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 62° and 43° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 78
  2. 146
  3. 151
  4. 51
  5. 56
  6. 114
  7. 67
  8. Complementary
  9. 140
  10. 70
  11. 93
  12. 53
  13. 43
  14. 127
  15. 54
  16. Supplementary
  17. 50
  18. 137
  19. 74
  20. 172
  21. 60
  22. 61
  23. 122
  24. Complementary
  25. 154
  26. 49
  27. Complementary
  28. 149
  29. 116
  30. 33
  31. Supplementary
  32. 142
  33. 79
  34. 8
  35. 78
  36. 141
  37. 149
  38. 62
  39. Neither
  40. Complementary

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