(a)
\The two lengths are
and
.
The angle
.
Draw the triangle with above specifications:
\
A is acute and
because
.
Therefore, one solution exists.
\Law of sines :
.


.
The sum of the angles in any triangle is
.
The length of sides
and
.
The two angles are
and
.
The remaining angle
.
Law of sines :
.



.
Therefore the remaing measures are
and
and
.