Angle subtended at mid point is 1/2 of angle subtended at 3/4 in a square from the same vertex

In a square ABCD, M is the midpoint of AD and N is the midpoint of MD. Prove that

\angle{NBC} =2 \angle{ABM}

.

See alsohttps://sumantmath.wordpress.com/2024/05/29/a-geometry-problem-solved-using-trigonometry/

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