The angles $11z^\circ$ and $(6z+10)^\circ$ are same-side interior angles, so they are supplementary: $11z + (6z + 10) = 180$ $17z = 170 \Rightarrow z = 10$

Then $11z^\circ = 110^\circ$, and $2w^\circ$ corresponds to this angle: $2w = 110 \Rightarrow w = 55$