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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 710 · 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 39° (in degrees)?
  2. 2.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the supplement of 120° (in degrees)?
  4. 4.What is the supplement of 45° (in degrees)?
  5. 5.What is the complement of 57° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its alternate interior angle (in degrees)?
  7. 7.Are 79° and 101° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.What is the complement of 75° (in degrees)?
  9. 9.What is the supplement of 159° (in degrees)?
  10. 10.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  12. 12.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two parallel lines are cut by a transversal. One interior angle is 134°. What is its other interior angle on the same side of the transversal (in degrees)?
  14. 14.What is the complement of 9° (in degrees)?
  15. 15.What is the supplement of 36° (in degrees)?
  16. 16.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 30° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  19. 19.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  20. 20.Two parallel lines are cut by a transversal. One angle is 81°. What is its corresponding angle (in degrees)?
  21. 21.What is the complement of 40° (in degrees)?
  22. 22.What is the supplement of 111° (in degrees)?
  23. 23.What is the complement of 28° (in degrees)?
  24. 24.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  27. 27.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 87°. What is its corresponding angle (in degrees)?
  29. 29.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  30. 30.Are 34° and 146° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the supplement of 72° (in degrees)?
  32. 32.What is the supplement of 7° (in degrees)?
  33. 33.What is the supplement of 62° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  37. 37.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  38. 38.What is the supplement of 29° (in degrees)?
  39. 39.What is the complement of 80° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 51
  2. 52
  3. 60
  4. 135
  5. 33
  6. 125
  7. Supplementary
  8. 15
  9. 21
  10. 49
  11. 82
  12. 76
  13. 46
  14. 81
  15. 144
  16. 48
  17. 150
  18. 101
  19. Supplementary
  20. 81
  21. 50
  22. 69
  23. 62
  24. 141
  25. 148
  26. 143
  27. 109
  28. 87
  29. 57
  30. Supplementary
  31. 108
  32. 173
  33. 118
  34. 94
  35. 141
  36. 112
  37. 74
  38. 151
  39. 10
  40. 75

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