Question

what is the name of this type of angle?

central angle
circumscribed angle
secant angle
inscribed angle

Explanation:

Identify the vertex and sides of the angle

Using the Circle Vocabulary knowledge point
The vertex of the angle is point \(D\), which lies directly on the circle. The two sides of the angle are rays or segments that pass through points \(B\) and \(C\) on the circle, meaning they contain chords \(DB\) and \(DC\).

Classify the angle based on its vertex

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

Answer:

• central angle
• circumscribed angle
• secant angle
• inscribed angle (Correct answer)