Two angles are said to be supplementary if the sum of their measures is 180 degrees.
Given that angles 25 and 26 are supplementary,
![\angle25+\angle26=180](https://img.qammunity.org/2023/formulas/mathematics/college/5zbyssitzjhoo7syzpz1nen3ovd47laiuk.png)
Also it is given that the angle 25 measures 124 degrees.
Substitute the value,
![\begin{gathered} 124+\angle26=180 \\ \angle26=180-124 \\ \angle26=56 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6696t1qvo8gao4nrnmvq6o6c496xz2yt9q.png)
Thus, the angle 26 measures 56 degrees.