KöMaL 2022 B5243

In a triangle $ABC$, $\angle CAB =48^{\circ}$ and $\angle ABC =54^{\circ}$. $D$ is an interior point of the triangle such that $\angle CDB =132^{\circ}$ and $\angle BCD =30^{\circ}$. Prove that the line segments forming the polygon $ACDB$ cannot form a triangle.