These are somewhat tricky !!!
First one
Angle DFE intercepts a diameter......when this is the case....its measure = 90°
So angle FDE = 180 - 90 - 63 = 27°
And the arc it intercepts - FE - is twice its measure = 54°
Second one.....even tougher!!!
Angle GHJ intercepts arc GJ = 360 - arc IJ - arc HI - arc GH
So arc GJ = 360 - 135 - 31 - 86 = 108°
And angle GHJ intercepts this arc so it measures (1/2)(108) = 54°
Notice that angle GIJ intercepts the same arc....so....it also measures 54° !!!!!
