The diagram shows two chords, $AC$ and $BD$, drawn in a circle. The chords intersect at the point $X$. Use angle properties to show that triangle $ABX$ is similar to triangle $CDX$.

 

The diagram shows two chords, $AC$ and $BD$, drawn in a circle. The chords intersect at the point $X$. Use the fact that the two triangles are similar to show that: $AX\times CX=BX\times DX$

Find the angle $x$ in the following:

Find the angle $x$ in the following:

Find the angle $x$ in the following:

Find the angle $x$ in the following:

Find the angle $x$ in the following:

Find the angle $x$ in the following:

Find the angle $x$ in the following: