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Calculate the value of \(BC\) of an isosceles triangle \(ABC\) if the length of \(BM\) is 117.36 \(mm\) and \(AM\) is the altitude from the vertex \(A\) to the base \(BC\). Also, find the angle \(∠AMC\).
 
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The length of \(BC\) is  \(mm\).
[Note: Submit the value of \(BC\) in a maximum of \(2\) decimal places]
 
The measure of angle \(∠AMC\) is \(°\).