# The Persistent Angle

Geometry Level 4

In an isosceles $$\triangle ABC$$, $$\angle A$$ is measured as $$108^\circ$$. $$A,C$$ and $$D$$ are collinear, while $$AD=BC$$. $$M$$ is the midpoint of $$BD$$. What is the value of $$\angle ACM$$, in degrees?

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