Angles Of A Pinwheel

Geometry Level 1

In the figure, four line segments AB,CD,EF,GHAB, CD, EF, GH intersect at a single point.

Find the value (in degrees) of the angle sum x+y+w+z.x + y + w + z.


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

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