The measures of two angles of a triangle are given. Find the measure of the third angle.
\[
38^{\circ} 30^{\prime}, 110^{\circ} 5^{\prime}
\]
The measure of the third angle is (Simplify your answer. Type a whole number.)

Step 1 ：Given the measures of two angles of a triangle as \(38^{\circ} 30^{\prime}\) and \(110^{\circ} 5^{\prime}\).

Step 2 ：Convert the given measures to decimal form. So, \(38^{\circ} 30^{\prime} = 38.5^{\circ}\) and \(110^{\circ} 5^{\prime} = 110.08333333333333^{\circ}\).

Step 3 ：The sum of the angles in a triangle is always 180 degrees. So, to find the measure of the third angle, we need to subtract the sum of the given two angles from 180 degrees.

Step 4 ：Calculate the measure of the third angle as \(180 - (38.5 + 110.08333333333333) = 31.41666666666667^{\circ}\).

Step 5 ：However, the question asks for a whole number. Therefore, we should round the third angle to the nearest whole number.

Step 6 ：Round the third angle to get \(31^{\circ}\).

Step 7 ：Final Answer: The measure of the third angle is \(\boxed{31}\) degrees.