2021 AIME II Problem 12

A convex quadrilateral has area 30 and side lengths 5,6,9, and 7 , in that order. Denote by \theta the measure of the acute angle formed by the diagonals of the quadrilateral. Then \tan \theta can be written in the form \frac{m}{n}, where m and n are relatively prime positive integers. Find m+n.