+58 A straight angle means the angle is \(180^\circ\)
Therefore, we can set up the equations to add up to \(180^\circ\)
\(8x-41^\circ+9x+17^\circ=180^\circ\)
Combining like terms, we get \(17x-24^\circ=180^\circ\). We can add \(24^\circ\) to each side to get \(17x=204^\circ\). Therefore, \(x=12^\circ\)
Plugging this back into the \(m\angle{CBD} \) equation, we get \(9x+17^\circ=9(12^\circ)+17^\circ=\boxed{125^\circ}\)
