Answer: 14 degrees.
Step-by-step explanation: The sum of the measures of the interior angles of a triangle is always 180 degrees. Therefore, if we know the measures of two of the interior angles of a triangle, we can use this fact to find the measure of the third angle.
In this case, we are given that two of the interior angles of the triangle have measures of 54 and 112 degrees. We can use this information to find the measure of the third angle as follows:
180 degrees = 54 degrees + 112 degrees + x
180 degrees = 166 degrees + x
x = 180 degrees - 166 degrees
x = 14 degrees
Therefore, the measure of the third angle of the triangle is 14 degrees.