The sine rule | Mathematico

Consider a general triangle, labeled in the usual way:

Standard triangle

The sine rule states that

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

These equations allow us to deal with problems which involve a pair of angles and their opposite sides.

Conveniently, the terms in the rule can be reciprocated to give

\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}

which can save us a line or two of working.

Find all missing angles and lengths in the below triangle:

Triangle with missing angles and sides