Question

Tough question incoming.
The four sided figure shown below
(see pic)
consists of two traingles having a common side a. The law of cosines for the top triangle states that
a^2= b^2 + c^2 - (2)bc cos A.

A similar equation can be written for the bottom triangle. Develop a procedure for computing the length of side c2 if you are given the lengths of sides b1 b2 and c1 and the angles A1 and A2 in degrees.