Question

find the measure of the missing angle.

Explanation:

Step1: Recall the property of vertical angles

Vertical angles are equal. The angle adjacent to \(a\) and \(26^{\circ}\) forms a linear pair with \(a\). But if we assume the figure is about vertical - like equal - angle situation (assuming the two non - adjacent angles formed by the intersection of two lines, one of which is split by an angle bisector - like line). Wait, no, more accurately, if we assume the two angles \(a\) and \(26^{\circ}\) are vertical angles. But no, wait, another approach: assume the figure is a case of two angles formed by a ray splitting an angle into two equal parts. Wait, no, looking at the figure (assuming it's a case of vertical angles). Wait, no, another way: if we assume that the two angles (the one with \(a\) and the \(26^{\circ}\) - related one) are such that \(a = 26^{\circ}\) (if it's a case of vertical angles). But wait, no, wait, actually, if we assume that the two angles are vertical angles (formed by the intersection of two lines, and the \(26^{\circ}\) is part of the pair). But more likely, if we assume that the two angles \(a\) and \(26^{\circ}\) are vertical angles.

Step2: Conclusion

Since vertical angles are equal, \(a = 26^{\circ}\)

Answer:

\(26^{\circ}\)