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That's good. 32 is my answer too.
oh yea, isoceles triangles! median of hypotenuse = half of hyptenuse. i get it
An alternative way to work it out is:
Triangle ABC is a right triangle with right angle at A. Suppose AX is an altitude of the triangle, AY is an angle bisector of the triangle, and AZ is a median of the triangle, and angle XAY=13. If X is on BY, then what is the measure of angle ZAC?