In the figure below, ABM is an equilateral triangle and MCE is an isosceles triangle. Points B, M, and E are collinear and m CME = 30 degrees and m ACM = 30 degrees. If AC = 36 inches, find AM.
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It's a really easy problem. Note that < AMC = 90° and we have that < ACM = 30°, so $\displaystyle \overline{AM}=\frac{\overline{AC}}2=18$
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