The arc CBH is 170o and the arc HGF is 64o and together they total 234o of the circle
Since the whole circle is 360o the remainder arc FDC has to be 126o
The angle FHC is half of the arc FDC so angle x equals 63o
Also, by looking at the picture and assuming it's even close to scale,
we see that angle FHC is less than 90o and only one choice is that.