Get help with right triangles and trigonometry

Challenge In $\mathrm{△}ABC,m\mathrm{\angle }B$ is one-third the $m\mathrm{\angle }A\text{and}m\mathrm{\angle }C$ is 37 less than the $m\mathrm{\angle }A.$. What are the measures of the angles of $\mathrm{△}ABC$?

Find the remaining angles for ${\displaystyle △ABC}$. ${\displaystyle m\angle B=30\circ \text{and}m\angle A=\frac{1}{2}m\angle C}$
${\displaystyle m\angle A=\surd \circ }$ and ${\displaystyle m\angle C=\surd \circ }$

Given theta is an acute angle such that sin theta = ${\displaystyle \frac{5}{13}}$ find the value of $\tan (\theta -\pi /4)$

In triangle ABC, a=5, ${\displaystyle M<B=92°}$, c=3. Find b.