It is not possible to determine the area of the figure based on the given information. A figure with an angle and a side length is not enough information to determine the shape or size of the figure. More information is needed.
To determine the area of a figure using only the given information of the figure having an angle of 165° and an approximate length of 6 inches, it is not possible as we need additional information about the shape of the figure. The angle alone does not provide enough information to calculate the area. Please provide more specific details or additional measurements about the figure to determine its area.
