Question

In a closed traverse PQRST the following data were collected in the field. What is the correct sum of deflection angles for this traverse?     

Line	Length (m)	Bearing
PQ	201.54	62°42'
QR	189.68	154°54'
RS	231.94	202°32'
ST	272.55	281°44'
TP	256.83	22°00'

 

• A. $382^\circ00'$
• B. $360^\circ00'$
• C. $540^\circ00'$
• D. $723^\circ52'$

Hint:

For any closed traverse, the total sum of deflection angles is always $360^\circ$, regardless of the number of sides.

Answer 1

The Correct Option is B

In a closed traverse with \(n\) sides, the sum of the deflection angles is given by:
\[ \text{Sum of deflection angles} = (n - 2) \times 180^\circ \]

However, for a closed traverse, the sum of the deflection angles is always:
\[ \boxed{360^\circ} \] regardless of the internal turning directions (left or right). This rule is derived from the principle of angle summation in polygonal loops.

Since PQRST is a closed traverse with 5 sides, this principle still applies and the correct answer is:
\[ \boxed{360^\circ00'} \]