please help with geometry

answer : 80
To find angle 1 , we apply outside angle theorem Lets name each point Measurement of arc EF=220 degrees
Measurement of arc GH = 60
Angle D = angle 1
Theorem says
angle [tex]D = \frac{arc(EF)-arc(GH)}{2}[/tex] Now we plug in the values
angle 1 = [tex]\frac{220-60}{2}[/tex] angle 1 = 80
Measurement of angle 1 = 80 degrees