Question

number 17 please.If m∠CBF = 6x + 18, find the value of x so that '''' ⊥ ''''. A 90 B 45 C 18 D 12

Answer 1

since we want that CB and BF be perpendicular, then the measure of angle CBF must be 90, then, we have the following equation:

$6x+18=90$

solving for x, we get:

$\begin{gathered} 6x+18=90 \\ \Rightarrow6x=90-18=72 \\ \Rightarrow x=\frac{72}{6}=12 \\ x=12 \end{gathered}$

therefore, x = 12