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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 864 · 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 supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 62° (in degrees)?
  3. 3.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  6. 6.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)?
  7. 7.What is the supplement of 89° (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 121°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 140°. What is the angle next to it on the same line (in degrees)?
  11. 11.Are 38° and 142° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.Two parallel lines are cut by a transversal. One angle is 118°. What is its corresponding angle (in degrees)?
  13. 13.What is the complement of 16° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One angle is 125°. What is its corresponding angle (in degrees)?
  15. 15.Are 74° and 16° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  16. 16.What is the supplement of 28° (in degrees)?
  17. 17.Two angles are supplementary. One is 108° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its alternate interior angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 131°. What is its alternate interior angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 130°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 123°. What is the angle next to it on the same line (in degrees)?
  22. 22.Are 40° and 98° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 44°. What is its alternate interior angle (in degrees)?
  24. 24.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 77° (in degrees)?
  26. 26.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are supplementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 13° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 105°. What is the angle next to it on the same line (in degrees)?
  30. 30.Are 26° and 31° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  31. 31.What is the supplement of 108° (in degrees)?
  32. 32.What is the complement of 15° (in degrees)?
  33. 33.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 31°. What is its corresponding angle (in degrees)?
  35. 35.What is the supplement of 148° (in degrees)?
  36. 36.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  37. 37.Are 58° and 32° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.What is the complement of 12° (in degrees)?
  39. 39.What is the supplement of 33° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?

Answer key

  1. 132
  2. 28
  3. 52
  4. 61
  5. 121
  6. 143
  7. 91
  8. 121
  9. 31
  10. 40
  11. Supplementary
  12. 118
  13. 74
  14. 125
  15. Complementary
  16. 152
  17. 144
  18. 30
  19. 131
  20. 50
  21. 57
  22. Neither
  23. 44
  24. 94
  25. 103
  26. 142
  27. 122
  28. 77
  29. 75
  30. Neither
  31. 72
  32. 75
  33. 50
  34. 31
  35. 32
  36. 49
  37. Complementary
  38. 78
  39. 147
  40. 61

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