Question

Help step by step pls.

Answer 1

Using the law of sines, we have

$\dfrac{\sin B}{2x-24}=\dfrac{\sin C}{x-2}$

but angles B and C are congruent, so the sine terms cancel and we're left with

$\dfrac1{2x-24}=\dfrac1{x-2}\implies2x-24=x-2\implies x=22$