Answer :

The answer is 110. I just took the quiz on k12
abidemiokin

The measure of arcDG from the given diagram is 110 degrees

According to the circle theorem that states "the angle at the centre of the circle is twice the angle at the circumference;

From the given diagram,

Angle at the circumference = 55 degrees

Angle at the centre = arc DG

According to the theorem;

[tex]arc DG = 2m\angle DHG\\arc DG =2(55)\\arc DG =110^0[/tex]

Hence the measure of arcDG from the given diagram is 110 degrees

Learn more on circle geometry here: https://brainly.com/question/22077295

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