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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 900 · 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 164° (in degrees)?
  2. 2.Are 32° and 58° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
  5. 5.Are 79° and 11° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  6. 6.What is the supplement of 106° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Are 54° and 36° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  9. 9.Are 64° and 26° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Two parallel lines are cut by a transversal. One angle is 33°. What is its corresponding angle (in degrees)?
  11. 11.What is the supplement of 33° (in degrees)?
  12. 12.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  13. 13.Are 72° and 108° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  14. 14.What is the supplement of 158° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 133°. What is the angle vertically opposite to it (in degrees)?
  16. 16.What is the supplement of 119° (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its other interior angle on the same side of the transversal (in degrees)?
  20. 20.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Are 26° and 64° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  24. 24.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 106°. What is its other interior angle on the same side of the transversal (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 119°. What is the angle next to it on the same line (in degrees)?
  27. 27.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  28. 28.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  29. 29.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  31. 31.What is the supplement of 136° (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 142°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  34. 34.Are 67° and 23° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  35. 35.Two straight lines cross each other. One of the angles formed is 42°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 77°. What is the angle vertically opposite to it (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
  38. 38.What is the supplement of 28° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 147°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 16
  2. Complementary
  3. 158
  4. 44
  5. Complementary
  6. 74
  7. 144
  8. Complementary
  9. Complementary
  10. 33
  11. 147
  12. 97
  13. Supplementary
  14. 22
  15. 133
  16. 61
  17. 24
  18. 124
  19. 65
  20. 74
  21. 46
  22. 116
  23. Complementary
  24. 141
  25. 74
  26. 61
  27. 123
  28. 108
  29. Complementary
  30. 36
  31. 44
  32. 38
  33. 70
  34. Complementary
  35. 42
  36. 77
  37. 56
  38. 152
  39. 33
  40. 64

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