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Find angle CBD.

 

 Jul 27, 2020
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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 \(9x+17^\circ=9(12^\circ)+17^\circ=\boxed{125^\circ}\)

 Jul 27, 2020

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