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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 935 · 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 6° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding angle (in degrees)?
  3. 3.Are 16° and 164° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  4. 4.What is the complement of 81° (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its alternate interior angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 90°. What is its corresponding angle (in degrees)?
  7. 7.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the supplement of 88° (in degrees)?
  9. 9.What is the supplement of 133° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 144°. What is its other interior angle on the same side of the transversal (in degrees)?
  11. 11.Two angles are supplementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  12. 12.What is the supplement of 86° (in degrees)?
  13. 13.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  15. 15.What is the supplement of 5° (in degrees)?
  16. 16.What is the complement of 30° (in degrees)?
  17. 17.What is the supplement of 49° (in degrees)?
  18. 18.What is the supplement of 117° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its alternate interior angle (in degrees)?
  20. 20.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  22. 22.Are 57° and 117° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  23. 23.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  24. 24.Are 35° and 55° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  25. 25.Two angles are complementary. One is 50° 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 114°. What is its alternate interior angle (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One angle is 91°. What is its corresponding angle (in degrees)?
  28. 28.Are 58° and 32° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 83°. 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 124°. What is the angle vertically opposite to it (in degrees)?
  31. 31.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 78° (in degrees)?
  34. 34.Are 72° and 130° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  36. 36.Are 14° and 166° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.What is the complement of 80° (in degrees)?
  38. 38.What is the supplement of 51° (in degrees)?
  39. 39.What is the supplement of 111° (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?

Answer key

  1. 93
  2. 84
  3. Supplementary
  4. 9
  5. 122
  6. 90
  7. 97
  8. 92
  9. 47
  10. 36
  11. 92
  12. 94
  13. Supplementary
  14. 51
  15. 175
  16. 60
  17. 131
  18. 63
  19. 75
  20. Supplementary
  21. 116
  22. Neither
  23. 41
  24. Complementary
  25. 70
  26. 114
  27. 91
  28. Complementary
  29. 97
  30. 124
  31. 48
  32. 64
  33. 12
  34. Neither
  35. 159
  36. Supplementary
  37. 10
  38. 129
  39. 69
  40. 38

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