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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 100 · 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 parallel lines are cut by a transversal. One interior angle is 98°. What is its alternate interior angle (in degrees)?
  2. 2.What is the supplement of 148° (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 135°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 118°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 64° and 116° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  6. 6.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  7. 7.What is the complement of 47° (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
  9. 9.What is the supplement of 73° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 120°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 63° (in degrees)?
  13. 13.What is the complement of 40° (in degrees)?
  14. 14.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One angle is 94°. What is its corresponding angle (in degrees)?
  17. 17.Are 56° and 124° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Are 73° and 107° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Are 59° and 91° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 133°. What is its alternate interior angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its alternate interior angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 61°. What is the angle vertically opposite to it (in degrees)?
  23. 23.What is the supplement of 147° (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the complement of 48° (in degrees)?
  26. 26.Two angles are supplementary. One is 124° more than the other. What is the bigger angle (in degrees)?
  27. 27.What is the supplement of 32° (in degrees)?
  28. 28.Are 38° and 142° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 66°. What is its alternate interior angle (in degrees)?
  30. 30.What is the supplement of 56° (in degrees)?
  31. 31.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  33. 33.Are 42° and 48° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  34. 34.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.Two straight lines cross each other. One of the angles formed is 50°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One interior angle is 75°. What is its alternate interior angle (in degrees)?
  37. 37.Are 52° and 81° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  38. 38.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  39. 39.What is the complement of 28° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 77°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. 98
  2. 32
  3. 45
  4. 118
  5. Supplementary
  6. 151
  7. 43
  8. 35
  9. 107
  10. 120
  11. 102
  12. 27
  13. 50
  14. 57
  15. 111
  16. 94
  17. Supplementary
  18. Supplementary
  19. Neither
  20. 133
  21. 83
  22. 61
  23. 33
  24. 132
  25. 42
  26. 152
  27. 148
  28. Supplementary
  29. 66
  30. 124
  31. 39
  32. 128
  33. Complementary
  34. Complementary
  35. 50
  36. 75
  37. Neither
  38. 151
  39. 62
  40. 103

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