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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 285 · 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 26° (in degrees)?
  2. 2.Two angles are supplementary. One is 104° more than the other. What is the bigger angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its alternate interior angle (in degrees)?
  4. 4.What is the supplement of 154° (in degrees)?
  5. 5.What is the complement of 80° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  8. 8.Are 23° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  9. 9.Are 12° and 78° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Two angles are supplementary. One is 110° more than the other. What is the bigger angle (in degrees)?
  11. 11.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  12. 12.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  13. 13.Are 20° and 160° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  14. 14.What is the complement of 42° (in degrees)?
  15. 15.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  16. 16.What is the supplement of 108° (in degrees)?
  17. 17.Are 16° and 164° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  18. 18.Two straight lines cross each other. One of the angles formed is 131°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
  21. 21.What is the supplement of 68° (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  23. 23.What is the complement of 81° (in degrees)?
  24. 24.Two angles are complementary. One is 30° 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 117°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 116°. What is its alternate interior angle (in degrees)?
  28. 28.What is the supplement of 33° (in degrees)?
  29. 29.What is the complement of 54° (in degrees)?
  30. 30.What is the supplement of 37° (in degrees)?
  31. 31.What is the complement of 57° (in degrees)?
  32. 32.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 145°. What is its corresponding angle (in degrees)?
  34. 34.What is the supplement of 27° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 107°. What is its corresponding angle (in degrees)?
  36. 36.What is the supplement of 39° (in degrees)?
  37. 37.What is the complement of 60° (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its other interior angle on the same side of the transversal (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 101°. What is its corresponding angle (in degrees)?
  40. 40.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 154
  2. 142
  3. 86
  4. 26
  5. 10
  6. 80
  7. 93
  8. Neither
  9. Complementary
  10. 145
  11. Supplementary
  12. 26
  13. Supplementary
  14. 48
  15. Complementary
  16. 72
  17. Supplementary
  18. 131
  19. 51
  20. 67
  21. 112
  22. 52
  23. 9
  24. 60
  25. 63
  26. 57
  27. 116
  28. 147
  29. 36
  30. 143
  31. 33
  32. 50
  33. 145
  34. 153
  35. 107
  36. 141
  37. 30
  38. 98
  39. 101
  40. 55

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