Question

in circle l with $m\angle knm = 41^\circ$, find the $m\angle klm$.

Explanation:

Step1: Identify angle relationship

$\angle KNM$ is an inscribed angle, $\angle KLM$ is the central angle subtending the same arc $\overset{\frown}{KM}$. The central angle is twice the inscribed angle.

Step2: Calculate central angle

Multiply the inscribed angle measure by 2.
$m\angle KLM = 2 \times m\angle KNM$
$m\angle KLM = 2 \times 41^\circ$

Answer:

$82^\circ$