Question

Circle D has diameter EF. The measure of ∠GDF = 55° What is the measure of EH?

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Answer 1

the complete question in the attached figure

we know that

if ∠GDF = 55°

then
∠EDH is also 55°

because
ED=DF=radius of a circle
GD=DH=radius of a circle
EH=GF

hence
if ∠EDH= 55° ( central angle)
then
arc EH is also 55°

the answer is
arc EH is 55°