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Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >  The sum of the interior angles of a closed tr... Start Learning for Free
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The sum of the interior angles of a closed traverse is equal to :
  • a)
    (2n – 4) 180º
  • b)
    (2n - 4) 90º
  • c)
    (3n – 4) 180º
  • d)
    (3n – 4) 90º
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The sum of the interior angles of a closed traverse is equal to :a)(2n...
In interior angle adjustment method, the algebraic sum of the interior angles is being computed and needs to be (2n - 4) X 90degree where n is the number of sides in the traverse. If there is no difference, no error is associated with the observation. Otherwise there is an error in observation of interior angles. The amount of error is distributed equally among all the interior angles to find their corrected values. Then, azimuth of the line are computed using the adjusted interior angles.
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The sum of the interior angles of a closed traverse is equal to :a)(2n...
Explanation:

  • A closed traverse is a series of connected lines that form a closed shape.

  • Interior angles are the angles formed inside the closed shape.

  • Let the number of sides of the closed shape be 'n'.

  • Each side of the closed shape forms an exterior angle with the adjacent side.

  • The sum of all exterior angles of a closed shape is always 360 degrees.

  • Each exterior angle is equal to the sum of the two interior angles that are not adjacent to it.

  • Therefore, the sum of all interior angles of the closed shape is equal to (n-2) times the sum of the interior angles of a triangle.

  • The sum of the interior angles of a triangle is 180 degrees.

  • Therefore, the sum of the interior angles of the closed traverse is (n-2) times 180 degrees.

  • Simplifying the above equation, we get the answer as (2n-4) times 90 degrees.

  • Hence, the correct answer is option B, (2n-4) times 90 degrees.

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Community Answer
The sum of the interior angles of a closed traverse is equal to :a)(2n...
In closed traverse
sum of interior angle = (2n-4)×90
sum of exterior angle= (2n+4)×90
where n is number of arms
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The sum of the interior angles of a closed traverse is equal to :a)(2n – 4) 180ºb)(2n - 4) 90ºc)(3n – 4) 180ºd)(3n – 4) 90ºCorrect answer is option 'B'. Can you explain this answer?
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