- #1

mxl117

- 2

- 0

## Homework Statement

I am given triangle ABC and a point X on the segment AB, one circle is inscribed inside triangle ACX and another inside BCX the two circles touch at point Y which lies on the line CX. show the inscribed circle of ABC touches AB at X

## Homework Equations

I suppose you could use the fact the angle bisectors of a triangle is the incenter of the incircle and circumcircle of that triangle.

## The Attempt at a Solution

So far i don't have a clue, but i have drawn the diagram. See attached.

If anyone could just get me started i'd be so grateful