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one angle one circle and one point

**hi to everyone.**

here I have a problem which has to be solved geometrically. The problem is the following:

There exists an angle. we have a point "A" which is set in a random place inside the angle. The problem is to draw a circle inside the angle which passes through the point "A" and is tangent over two lines of the angle. In other words, the circle passes through three points. two points are over the two lines of the angle and one point is "A"

How to find the center of circle and its radius???

I have also attached one picture so you can imagine the situation better.

Thanks in advance for your help.(Nerd)(Rofl)