#1**+1 **

The arc CBH is 170^{o} and the arc HGF is 64^{o} and together they total 234^{o} of the circle

Since the whole circle is 360^{o} the remainder arc FDC has to be 126^{o}

The angle FHC is half of the arc FDC so **angle x equals 63 ^{o}**

Also, by looking at the picture and assuming it's even close to scale,

we see that angle FHC is less than 90^{o} and only one choice is that.

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Guest Aug 9, 2020