Question

find m\\(\overparen{km}\\).
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m\\(\angle knm\\) = \\(\frac{1}{2}\\)(m\\(\overparen{km}\\) - m\\(\overparen{lk}\\))

Explanation:

Step1: Identify given values

We know that $m\angle KNM = 22^{\circ}$ and $m\overparen{LK}=95^{\circ}$. The formula is $m\angle KNM=\frac{1}{2}(m\overparen{KM}-m\overparen{LK})$.

Step2: Substitute values into formula

$22^{\circ}=\frac{1}{2}(m\overparen{KM}- 95^{\circ})$.

Step3: Solve for $m\overparen{KM}$

First, multiply both sides by 2: $2\times22^{\circ}=m\overparen{KM}-95^{\circ}$, so $44^{\circ}=m\overparen{KM}-95^{\circ}$. Then add $95^{\circ}$ to both sides: $m\overparen{KM}=44^{\circ}+95^{\circ}$.

Answer:

$m\overparen{KM}=139^{\circ}$