# Properties of triangles and circles!

Geometry Level pending

Consider the above figure with:

$$m\angle ABC=37 ^ \circ$$

$$AB=975$$

$$CE=900$$

$$\overline{AE}$$ is the perpendicular bisector of $$\overline{CD}$$, and the angle bisector of $$\angle CAD$$

Point $$A$$ is the center of the circle

$$AE=z$$

$$m\angle EAD+m\angle ECA=y ^\circ$$

$$\frac{z}{y}$$, in its simplest form, can be written as $$\frac{a}{b}$$

$$a-b=x$$

What is the value of $$x$$?

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