Question

which angle is congruent to ∠ncm? a. ∠nlm b. ∠lmc c. ∠lnc d. ∠mnc

Explanation:

Step1: Recall inscribed - angle theorem

Angles inscribed in the same arc of a circle are congruent.

Step2: Identify the arc for ∠NCM

The arc for ∠NCM is arc NM.

Step3: Find the angle inscribed in arc NM

The angle ∠NLM is also inscribed in arc NM. So, ∠NCM≅∠NLM.

Answer:

A. ∠NLM