If two adjacent angles \(\angle 1\) and \(\angle 2\) form a resulting angle measure of \(135^\circ\), it means that they are supplementary (adding up to \(135^\circ\)) or one of them is an extension of the other.
Since they are adjacent angles, we typically consider the case where they are supplementary. Therefore:
\[ \angle 1 + \angle 2 = 135^\circ \]
If you have any specific values or further context regarding the angles, please provide that information so we can solve or analyze the situation further!