Question

xw is the perpendicular bisector of zy find the value of x in the length of wy

Answer 1

The two triangles WXZ and WXY are congruent by SAS because ZX = YX and WX is a common side and angle WXZ= angle WXY = 90 degrees.

So, by CPCT, WZ = WY.

$\begin{gathered} 2x+11=4x-5 \\ 2x-4x=-5-11 \\ -2x=-16 \\ x=8 \end{gathered}$

Thus, x = 8.