The infamous Bermuda Triangle is a triangular patch of the Atlantic Ocean with vertices at Miami, Bermuda and San Juan. Given that the distance from Miami to San Juan is 1032 mi., the distance from San Juan to Bermuda is 964mi., and the distance from Bermuda to Miami is 1043mi, find the degree measure of the interior angle formed at the vertex at Bermuda.

The angle of the triangle at Bermuda:_______________________ degrees. (Round your answer to the nearest hundredth of a degree if necessary.)