Answer:
41 degrees
Step-by-step explanation:
step 1
Find the measure of arc DGF
we know that
The inscribed angle is half that of the arc comprising
so
[tex]m\angle E=\frac{1}{2}[arc\ DGF][/tex]
we have
[tex]m\angle E=123^o[/tex]
substitute
[tex]123^o=\frac{1}{2}[arc\ DGF][/tex]
[tex]arc\ DGF=246^o[/tex]
step 2
Find the measure of arc EF
we know that
[tex]arc\ DGF+arc\ DE+arc\ EF=360^o[/tex] ----> by complete circle
substitute the given values
[tex]246^o+73^o+arc\ EF=360^o[/tex]
[tex]319^o+arc\ EF=360^o[/tex]
[tex]arc\ EF=360^o-319^o=41^o[/tex]
