Applying Laws of Sines and Cosines Practice Test

In triangle $ABC$, $A=45^\circ$, $B=45^\circ$, and $c=10$ (opposite $\angle C$). What is the length of side $a$ (opposite $\angle A$)?

In triangle $$ABC$$, $\angle A=60^\circ$, $\angle B=45^\circ$, and side $b=8$ (opposite $\angle B$). What is the value of side $a$ (opposite $\angle A$)?