In quadrilateral A B C D, \angle B A D \cong \angle A D C and \angle A B D \cong \angle B C D, A B=8, B D=10, and B C=6. The length C D may be written in the form m / n, where m and n are relatively prime positive integers. Find m+n.
In quadrilateral A B C D, \angle B A D \cong \angle A D C and \angle A B D \cong \angle B C D, A B=8, B D=10, and B C=6. The length C D may be written in the form m / n, where m and n are relatively prime positive integers. Find m+n.