Mathematics Question from JEE Main 2023 · 15 April, Shift 1

If the line $x=y=z$ intersects the line $x\sin A+y\sin B+z\sin C-18=0$ and $x\sin 2A+y\sin 2B+z\sin 2C-9=0,$ where $A,B,C$ are the angles of a triangle $ABC$, then $80\left(\sin\frac{A}{2}\sin\frac{B}{2}\sin\frac{C}{2}\right)$ is equal to