Use paragraph, flow chart, or two-column proof to prove the angle congruency.

Step-by-step explanation:
we have
∠CAX=∠BAX
AC=AB
[AX] a common side for both triangles ΔACX and ΔABX
then
ΔACX and ΔABX are two isometric triangles
therefore XC=XB
then the triangle ΔXBC is isoceles
then ∠XBC ≡ ∠XCB.
:)