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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 623 · 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 43° (in degrees)?
  2. 2.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 44° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 93°. What is the angle vertically opposite to it (in degrees)?
  5. 5.What is the supplement of 112° (in degrees)?
  6. 6.What is the supplement of 72° (in degrees)?
  7. 7.What is the supplement of 98° (in degrees)?
  8. 8.Are 39° and 144° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
  11. 11.What is the supplement of 134° (in degrees)?
  12. 12.What is the supplement of 42° (in degrees)?
  13. 13.Are 78° and 12° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are supplementary. One is 78° more than the other. What is the bigger angle (in degrees)?
  16. 16.What is the supplement of 34° (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 69°. What is its other interior angle on the same side of the transversal (in degrees)?
  18. 18.What is the complement of 12° (in degrees)?
  19. 19.What is the complement of 49° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 50°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two angles are complementary. One is 70° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 103° (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its alternate interior angle (in degrees)?
  24. 24.What is the complement of 25° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 53°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 43°. What is the angle vertically opposite to it (in degrees)?
  27. 27.Are 60° and 137° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 100°. What is its alternate interior angle (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its other interior angle on the same side of the transversal (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
  31. 31.What is the supplement of 19° (in degrees)?
  32. 32.What is the supplement of 24° (in degrees)?
  33. 33.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 75° (in degrees)?
  35. 35.What is the complement of 8° (in degrees)?
  36. 36.What is the supplement of 16° (in degrees)?
  37. 37.What is the supplement of 133° (in degrees)?
  38. 38.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?

Answer key

  1. 137
  2. 58
  3. 136
  4. 93
  5. 68
  6. 108
  7. 82
  8. Neither
  9. 59
  10. 23
  11. 46
  12. 138
  13. Complementary
  14. 152
  15. 129
  16. 146
  17. 111
  18. 78
  19. 41
  20. 130
  21. 80
  22. 77
  23. 32
  24. 65
  25. 53
  26. 43
  27. Neither
  28. 100
  29. 101
  30. 55
  31. 161
  32. 156
  33. 54
  34. 15
  35. 82
  36. 164
  37. 47
  38. 108
  39. 87
  40. 74

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