Thread: find the angle

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.

It's a really easy problem.

Note that < AMC = 90° and we have that < ACM = 30°, so