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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 582 · 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 47° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 140°. What is its corresponding angle (in degrees)?
  3. 3.Two straight lines cross each other. One of the angles formed is 76°. What is the angle next to it on the same line (in degrees)?
  4. 4.What is the supplement of 155° (in degrees)?
  5. 5.Are 36° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  6. 6.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 71° (in degrees)?
  8. 8.What is the complement of 58° (in degrees)?
  9. 9.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two angles are complementary. One is 28° 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 93°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the supplement of 86° (in degrees)?
  13. 13.Are 32° and 58° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.What is the complement of 77° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Are 22° and 68° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  17. 17.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  20. 20.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are complementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  22. 22.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  23. 23.What is the complement of 82° (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Two angles are supplementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  26. 26.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)?
  27. 27.What is the complement of 34° (in degrees)?
  28. 28.What is the supplement of 96° (in degrees)?
  29. 29.What is the supplement of 89° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 119°. What is its other interior angle on the same side of the transversal (in degrees)?
  31. 31.What is the supplement of 105° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 68°. What is its other interior angle on the same side of the transversal (in degrees)?
  33. 33.What is the supplement of 74° (in degrees)?
  34. 34.What is the complement of 78° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 164° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its alternate interior angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two angles are supplementary. One is 2° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 43
  2. 140
  3. 104
  4. 25
  5. Complementary
  6. 55
  7. 19
  8. 32
  9. 117
  10. 59
  11. 87
  12. 94
  13. Complementary
  14. 13
  15. 70
  16. Complementary
  17. 94
  18. 92
  19. 94
  20. 74
  21. 68
  22. Complementary
  23. 8
  24. 52
  25. 109
  26. 57
  27. 56
  28. 84
  29. 91
  30. 61
  31. 75
  32. 112
  33. 106
  34. 12
  35. 38
  36. 16
  37. 142
  38. 77
  39. 35
  40. 91

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