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

Solution Steps

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

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

• ∠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