Question

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

Explanation:

Step1: Recall the definition of an inscribed angle

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

Step2: Analyze each angle

• For \(\angle KEN\): Its vertex \(E\) is outside the circle. So it is not an inscribed angle.
• For \(\angle EKV\): Its vertex \(K\) is on the circle and its sides \(KC\) and \(KV\) are chords of the circle.
• For \(\angle VOC\): Its vertex \(O\) is the center of the circle. So it is a central angle, not an inscribed angle.

Answer:

\(\angle EKV\)