Can't quite fathom your terminology.
How do you take the measure of a triangle? I'll assume that WXZ is an angle, not a triangle.
If XZ is a side of the triangle ZXY, how can it bisect ZXY?
I'll assume your logic is sound, even if your exposition is not.
If triangle ZXY is an equilateral triangle and the measure of W equals 34 degrees, what is the measure of the triangle WXZ?
Work: XZ bisects WXZ and ZXY ; since W is 34 degrees, than Y is 34 degrees and since ZXY is equilateral, that also means that Z is 34 degrees.
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