Recall that the interior angles of a triangle add up to 180 degrees.
Now, notice that:
[tex]27^{\circ}+41^{\circ}+112^{\circ}=180^{\circ}\text{.}[/tex]Therefore we can use the given angle measures to construct triangles.
Since the lengths of the sides of the triangle are not fixed, we get that we can construct infinitely many triangles, all of them similar.
Answer: Option B,
