Question

In circle L with m KLM = 82°, find the angle measure of minor arc KM.

Answer 1

The angle measure of minor arc KM is 41 degrees

Circle geometry

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

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