Question

Find the value of x.A. 9B. 24C. 12D. 117

Answer 1

If line AC is the bisector of the angle DCB, therefore angle ACD and angle ACB are equal.

`\begin{gathered} \text{Given } \\ <\text{ACD}=(5x+27)^0 \\ <\text{ACB}=(45+3x)^0 \end{gathered}`
`\begin{gathered} \text{Since} \\ <\text{ACD}=<\text{ACB} \\ 5x+27=45+3x \end{gathered}`
`\begin{gathered} \text{collect like terms} \\ 5x-3x=45-27 \\ 2x=18 \\ \text{divide through by 2} \\ (2x)/(2)=(18)/(2) \\ x=9^0 \end{gathered}`

Hence, the value of x is 9°, OPTION A