Here, ∠AEG is an inscribed angle and the other three are not.
"In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle."
Here, ∠EGD is not an inscribed angle. Although it is interior of a circle, but there is no intersection of two chords on this circle.
∠ADG is not an inscribed angle, it is a central angle.
∠BCE is an not an inscribed angle. It is also interior of a circle, but there is no intersection of two chords on this circle.
Here, only ∠AEG is an inscribed angle as it is formed in the interior of a circle when two chords intersect on the circle.
Therefore, Option(C) is the correct answer.
Learn more about an inscribed angle here: https://brainly.com/question/16475520
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