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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 266 · 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.Are 70° and 20° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  2. 2.Are 73° and 89° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 30°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 44°. What is its corresponding angle (in degrees)?
  5. 5.What is the supplement of 152° (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 35°. What is the angle next to it on the same line (in degrees)?
  7. 7.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 38° (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  10. 10.Are 49° and 79° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  11. 11.Two angles are complementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two parallel lines are cut by a transversal. One angle is 106°. What is its corresponding angle (in degrees)?
  13. 13.What is the supplement of 128° (in degrees)?
  14. 14.What is the supplement of 50° (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its alternate interior angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.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)?
  18. 18.What is the supplement of 106° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.What is the complement of 14° (in degrees)?
  22. 22.What is the complement of 43° (in degrees)?
  23. 23.What is the complement of 48° (in degrees)?
  24. 24.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 59°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its alternate interior angle (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
  29. 29.What is the supplement of 121° (in degrees)?
  30. 30.Are 32° and 148° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.Two angles are supplementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  32. 32.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are supplementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 66°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  37. 37.What is the supplement of 158° (in degrees)?
  38. 38.Are 19° and 54° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Two straight lines cross each other. One of the angles formed is 68°. What is the angle vertically opposite to it (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. Complementary
  2. Neither
  3. 150
  4. 44
  5. 28
  6. 145
  7. 157
  8. 52
  9. 85
  10. Neither
  11. 66
  12. 106
  13. 52
  14. 130
  15. 47
  16. 103
  17. 75
  18. 74
  19. 148
  20. 121
  21. 76
  22. 47
  23. 42
  24. 94
  25. 121
  26. 147
  27. 34
  28. 73
  29. 59
  30. Supplementary
  31. 103
  32. 65
  33. 124
  34. 79
  35. 114
  36. 111
  37. 22
  38. Neither
  39. 68
  40. 102

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