Question

Find angle CBD given the angles

Answer 1

Explanation:

ABC + CBD = 180⁰

8x - 41 + 9x + 17 = 180

17x = 204

x = 12

CBD = 108 + 17 = 125⁰

Answer 2

`\bf \measuredangle ABD=180^o~\hspace{5em}\measuredangle ABD=\measuredangle ABC+\measuredangle CBD \\\\\\ \stackrel{\measuredangle ABD}{180}=\stackrel{\measuredangle ABC}{(8x-41)}+\stackrel{\measuredangle CBD}{(9x+17)}\implies 180=17x-24\implies 204=17x \\\\\\ \cfrac{204}{17}=x\implies 12=x \\\\[-0.35em] ~\dotfill\\\\ \measuredangle CBD\implies 9(12)+17\implies 108+17\implies 125`