Closed Traverse:

A closed traverse is a surveying technique that measures the angles and distances between points on the ground to determine the positions of those points relative to each other.

Algebraic Sum of Departure and Latitude:

In a closed traverse, the departure is the east-west distance between two consecutive points, and the latitude is the north-south distance between two consecutive points. The algebraic sum of departure and latitude is the sum of all the departures and latitudes in the traverse, taking into account their direction (positive or negative).

Equal to 0°:

The algebraic sum of departure and latitude must be equal to 0° in a closed traverse because the starting and ending points are the same. This means that the total east-west distance and the total north-south distance must balance out, resulting in a net displacement of zero.

Explanation of Options:

Option A: 90° is incorrect because it is the sum of the interior angles of a triangle, not a closed traverse.

Option B: 180° is incorrect because it is the sum of the interior angles of a quadrilateral, not a closed traverse.

Option C: 0° is correct because the algebraic sum of departure and latitude must be equal to zero in a closed traverse.

Option D: 270° is incorrect because it is the sum of the interior angles of a pentagon, not a closed traverse.