Given the triangle shown in the exercise, you know that the line "m" is a Perpendicular Bisector for the side AB of the triangle.
By definition, a Perpendicular Bisector is a line that passes through the midpoint of a segment and forms an angle that measures 90 degrees. Therefore, it divides the segment into two equal parts.
Based on the Perpendicular Bisector Theorem you know that a point on the Perpendicular Bisector of a segment is equidistant from the endpoints of that segment.
Knowing that theorem, you can conclude that, in this case:
[tex]x+6=22[/tex]
Then, you can solve for "x":
[tex]\begin{gathered} x=22-6 \\ x=16 \end{gathered}[/tex]
Hence, the answer is: Option A.
