Answer:
[tex] \angle{ABC} = 8x - 41\degree[/tex]
[tex] \angle{CBD} = 9x + 17 \degree[/tex]
[tex] \huge \pink{Find \: x:}[/tex]
[tex] \angle{ABC} + \angle{CBD} = 180 \degree[/tex]
[tex]8x - 41 \degree + 9x + 17 \degree = 180 \degree[/tex]
[tex]17x + ( - 41 \degree + 17 \degree) = 180 \degree[/tex]
[tex]17x + ( - 24 \degree) = 180 \degree[/tex]
[tex]17x - 24 \degree = 108 \degree[/tex]
[tex]17x = 180 \degree + 24 \degree[/tex]
[tex]17x = 204 \degree[/tex]
[tex]x = \frac{204 \degree}{17} [/tex]
[tex]x = 12[/tex]
[tex] \huge\pink{Find} \: \angle{CBD:}[/tex]
[tex] \angle{CBD} = 9x + 17 \degree[/tex]
[tex] = > 9(12) + 17 \degree[/tex]
[tex] = > 108 \degree + 17 \degree[/tex]
[tex] = > 125\degree[/tex]
