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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 779 · 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 straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 39°. What is its alternate interior angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  5. 5.Two angles are complementary. One is 8° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One angle is 130°. What is its corresponding angle (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its alternate interior angle (in degrees)?
  8. 8.What is the supplement of 6° (in degrees)?
  9. 9.Are 53° and 127° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  10. 10.Are 66° and 80° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.What is the supplement of 91° (in degrees)?
  12. 12.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 15° (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 67°. What is its corresponding angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 126°. What is the angle next to it on the same line (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 38°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 49° and 131° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  21. 21.What is the supplement of 77° (in degrees)?
  22. 22.What is the supplement of 29° (in degrees)?
  23. 23.Are 66° and 10° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  24. 24.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
  25. 25.What is the supplement of 104° (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 129°. What is the angle vertically opposite to it (in degrees)?
  27. 27.What is the supplement of 150° (in degrees)?
  28. 28.Are 47° and 104° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  29. 29.What is the supplement of 113° (in degrees)?
  30. 30.Are 34° and 146° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  31. 31.What is the supplement of 10° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 35°. What is its corresponding angle (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 65°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  35. 35.What is the supplement of 147° (in degrees)?
  36. 36.What is the complement of 9° (in degrees)?
  37. 37.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 103°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 89°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 71°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 20
  2. 33
  3. 39
  4. 50
  5. 49
  6. 130
  7. 106
  8. 174
  9. Supplementary
  10. Neither
  11. 89
  12. 78
  13. 75
  14. 99
  15. 38
  16. 67
  17. 54
  18. 38
  19. 113
  20. Supplementary
  21. 103
  22. 151
  23. Neither
  24. 79
  25. 76
  26. 129
  27. 30
  28. Neither
  29. 67
  30. Supplementary
  31. 170
  32. 35
  33. 115
  34. 154
  35. 33
  36. 81
  37. 142
  38. 103
  39. 91
  40. 71

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