Two circles are inscribed in an isosceles right triangle, as shown in the diagram above. They are tangent to the sides of the triangle and to each other.
An angle x is formed between two chords, facing the right angle of the triangle. The chords meet at the point of tangency between two circles and extend to the points where the circle touches a leg.
Find the angle x.
Hint: Use the information to re-construct the diagram, incorporating the particulars of the geometry described.
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