Question 745479
(i)the measure of inscribed angle GFH is  is always half the measure of the central angle GCH.  so {{{GFH=88/2=44}}}

(ii) the polygon formed in the larger circle is a cyclic quadrilateral in which the sum of the opposite angle is 180. Thus, {{{180=angle GDE+126}}} and {{{GDE=54}}}

(iii) {{{angle DEF = angle GHF = 180-GHE=180-126=54}}}