Perform the calculation.
\[
43^{\circ} 5^{\prime}+55^{\circ} 52^{\prime}-26^{\circ} 19^{\prime}
\]
\[
43^{\circ} 5^{\prime}+55^{\circ} 52^{\prime}-26^{\circ} 19^{\prime}=
\]
(Simplify your answer.)
The final answer is \(\boxed{72^{\circ} 38^{\prime}}\).
Step 1 :Given angles are \(43^{\circ} 5^{\prime}\), \(55^{\circ} 52^{\prime}\) and \(26^{\circ} 19^{\prime}\).
Step 2 :First, convert the minutes to degrees. Since 1 degree is equal to 60 minutes, the given angles can be converted as follows: \(43^{\circ} + \frac{5}{60}^{\circ}\), \(55^{\circ} + \frac{52}{60}^{\circ}\) and \(26^{\circ} + \frac{19}{60}^{\circ}\).
Step 3 :Perform the addition and subtraction operations: \((43^{\circ} + \frac{5}{60}^{\circ}) + (55^{\circ} + \frac{52}{60}^{\circ}) - (26^{\circ} + \frac{19}{60}^{\circ})\).
Step 4 :The result of the calculation is 72 degrees and 0.6333333333333334 degrees (which is the decimal part converted from minutes).
Step 5 :Convert the decimal part back to minutes to get the final answer. Since 1 degree is equal to 60 minutes, 0.6333333333333334 degrees is equal to \(0.6333333333333334 \times 60\) minutes.
Step 6 :The final answer is \(\boxed{72^{\circ} 38^{\prime}}\).