circle question

 

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. 

_.