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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 122 · 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 64°. What is the angle vertically opposite to it (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 136°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the supplement of 103° (in degrees)?
  4. 4.What is the complement of 57° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 134°. What is the angle next to it on the same line (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 147°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
  8. 8.What is the complement of 78° (in degrees)?
  9. 9.What is the supplement of 33° (in degrees)?
  10. 10.Are 38° and 52° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  11. 11.Two straight lines cross each other. One of the angles formed is 115°. What is the angle next to it on the same line (in degrees)?
  12. 12.What is the complement of 21° (in degrees)?
  13. 13.Are 74° and 106° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  15. 15.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
  16. 16.Are 43° and 47° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  17. 17.What is the complement of 40° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  20. 20.What is the complement of 53° (in degrees)?
  21. 21.Two angles are complementary. One is 56° 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 126°. What is the angle vertically opposite to it (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its other interior angle on the same side of the transversal (in degrees)?
  24. 24.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 99°. What is the angle vertically opposite to it (in degrees)?
  26. 26.Two straight lines cross each other. One of the angles formed is 149°. What is the angle next to it on the same line (in degrees)?
  27. 27.What is the supplement of 45° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 156°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  31. 31.Are 48° and 42° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  32. 32.What is the complement of 26° (in degrees)?
  33. 33.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  34. 34.Two angles are supplementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  35. 35.Are 32° and 134° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.Are 24° and 66° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  37. 37.Two straight lines cross each other. One of the angles formed is 70°. What is the angle next to it on the same line (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 78°. What is the angle next to it on the same line (in degrees)?
  39. 39.Two angles are complementary. One is 30° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 64
  2. 44
  3. 77
  4. 33
  5. 46
  6. 147
  7. 138
  8. 12
  9. 147
  10. Complementary
  11. 65
  12. 69
  13. Supplementary
  14. 102
  15. 74
  16. Complementary
  17. 50
  18. 59
  19. 99
  20. 37
  21. 73
  22. 126
  23. 123
  24. 104
  25. 99
  26. 31
  27. 135
  28. 156
  29. 94
  30. 138
  31. Complementary
  32. 64
  33. 157
  34. 105
  35. Neither
  36. Complementary
  37. 110
  38. 102
  39. 60
  40. 55

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