Questions: An inscribed angle in the diagram is: angle EDG. angle ABF. angle HFA. angle CDE.

An inscribed angle in the diagram is: angle EDG. angle ABF. angle HFA. angle CDE.
Transcript text: An inscribed angle in the diagram is: $\angle E D G$. $\angle A B F$. $\angle H F A$. $\angle C D E$.
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Solution

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Solution Steps

Step 1: Understanding Inscribed Angles

An inscribed angle in a circle is an angle whose vertex is on the circle and whose sides contain chords of the circle.

Step 2: Identifying Inscribed Angles in the Diagram

We need to identify which of the given angles has its vertex on the circle and its sides containing chords of the circle.

Step 3: Analyzing Each Option
  • ∠EDG: The vertex D is inside the circle, not on the circle.
  • ∠ABF: The vertex B is on the circle, and sides AB and BF are chords of the circle.
  • ∠HFA: The vertex F is on the circle, but one side (FA) is not a chord.
  • ∠CDE: The vertex D is inside the circle, not on the circle.

Final Answer

The inscribed angle in the diagram is ∠ABF.

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