Question

Find the value of “x”. a. 4b. 5c. 6d. 8

Answer 1

`(12)/(\sin\alpha)=(x+2)/(\sin \beta)`

and

`(8)/(\sin180-\alpha)=(x)/(\sin \beta)`
`\begin{gathered} (12)/(8)=(x+2)/(x) \\ \text{Cross multiply} \\ 12x=8x+16 \\ collect\text{ the like terms} \\ 12x-8x=16 \\ 4x=16 \\ \text{Divide both sides by 4} \\ (4x)/(4)=(16)/(4) \\ \\ x=4 \end{gathered}`

The final answer

`x=4`