Angles Of A Pinwheel

Geometry Level 1

In the figure above, four line segments \(AB, CD, EF, GH\) intersect at a single point. Find the value (in degrees) of the angle sum \(x + y + w + z.\)

Note: \(\angle EFH = 55 ^ \circ\), \(\angle ACD = 37 ^ \circ\), and \(\angle GHF = 85 ^ \circ\).

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