Question

which of the angles below is an inscribed angle? answer attempt 2 out of 2 ∠ken ∠ekv ∠ckv ∠voc

Explanation:

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

• $\angle KEN$: Its vertex \(E\) is outside the circle, so it is not an inscribed angle.
• $\angle EKV$: Its vertex \(K\) is on the circumference of the circle and its sides \(EK\) and \(VK\) are chords of the circle, so it is an inscribed angle.
• $\angle CKV$: Its vertex \(K\) is on the circumference, but side \(CK\) is a secant and \(VK\) is a chord. However, when considering the definition, we note that for an inscribed - angle, the vertex is on the circle and the sides are chords. Here, if we assume the circle's properties (since \(K\) is on the circle and \(VK\) and \(CK\) are related to the circle's chords/secants in a non - standard inscribed - angle formation (if we consider the circle's arc subtended, it does not meet the pure inscribed - angle criteria as neatly as \(\angle EKV\) in terms of the basic definition where the two sides are chords starting from the vertex on the circle).
• $\angle VOC$: Its vertex \(O\) is the center of the circle, so it is a central angle, not an inscribed angle.

Answer:

\(\angle EKV\)