I think its 230 because J to G is a straight 180 degree line which means the circle is cut in half which means that jfg is 180, and we can find f to g because its 180-127 which gets us 53, and since F to I and J to G are straight lines I believe that means the opposing angle J to I is also 53 meaning you can take 180-77-53 and get G to H and add that to the 180 you got from JFG and get 230