In a closed traverse having six sides, what will be the sum of the inclined angles?a)360°b)450°c)540°d)720°Correct answer is option 'D'. Can you explain this answer?

Question

In a closed traverse having six sides, what will be the sum of the inclined angles?a)360&#176;b)450&#176;c)540&#176;d)720&#176;Correct answer is option 'D'. Can you explain this answer?

Answer

We can calculate sum of angle in any form of closed traverse using this formula (2n - 4 )× 90 if we put 6 then get 720 anser where n number of total sides

Answer

Closed traverse having six sides makes a hexagonal and each side of hexagonal makes 120 degree
so
120x6=720

Answer

In a closed traverse having six sides, the sum of the inclined angles will be 720 degrees.

To understand why the sum of the inclined angles is 720 degrees, we need to consider a few concepts related to closed traverses and angle measurements.

1. Closed Traverse:
A closed traverse is a surveying technique used to determine the coordinates of a series of connected points on the ground. It involves measuring the angles and distances between consecutive points to establish a closed polygon.

2. Inclined Angles:
In a closed traverse, the angles between consecutive sides are known as the inclined angles. These angles are measured in a clockwise or counterclockwise direction from one side to the next.

3. Sum of Inclined Angles:
The sum of the inclined angles in a closed traverse depends on the number of sides. For a closed traverse with n sides, the sum of the inclined angles can be calculated using the formula: (n - 2) * 180 degrees.

In this case, we have a closed traverse with six sides. Applying the formula, we can calculate the sum of the inclined angles as follows:

Sum of inclined angles = (6 - 2) * 180 degrees
= 4 * 180 degrees
= 720 degrees

Therefore, the correct answer is option 'D' - 720 degrees.

Summary:
In a closed traverse with six sides, the sum of the inclined angles is 720 degrees. This is determined using the formula (n - 2) * 180 degrees, where n represents the number of sides in the traverse. It is important to understand these concepts to accurately calculate and analyze closed traverse surveys in civil engineering.

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