The angle measure of minor arc KM is 41 degrees
<h3>Circle geometry</h3>
From the given diagram, we have the following parameters
mKLM = 82 degrees
Required
arcKM
Since the angle at the vertex is twice that of the intercepted arc, then:
<KLM = 2(arcKM)
arcKM = <KLM/2
arcKM = 82/2
arcKM = 41 degrees
Hence the angle measure of minor arc KM is 41 degrees
Learn more on circle geometry here:
brainly.com/question/26594685
