Question

If \( n \) is the number of sides of a traverse, the theoretical sum of the interior included angles of a closed traverse is:

• A. \( (2n - 4) \times 90^\circ \)
• B. \( (2n + 4) \times 90^\circ \)
• C. \( (2n \pm 4) \times 90^\circ \)
• D. \( 360^\circ \)

Hint:

Use \( (2n - 4) \times 90^\circ \) for sum of interior angles in closed traverses.

Answer 1

The Correct Option is A

The formula for the sum of interior angles of a closed polygon (traverse) with \( n \) sides is: \[ \text{Sum} = (2n - 4) \times 90^\circ \] This comes from geometry of closed figures in surveying and polygon theory.