Question

Find the value of x please

Answer 1

From the given diagram, using the property of similar Triangle we can write

$\\ \ \frac{60}{60+27}=\frac{80}{80+2x}\\ \\ \ \frac{60}{87}=\frac{80}{80+2x}\\ \\ \Rightarrow 60(80+2x)=80*87\\ \\ \ \Rightarrow 80+2x=116\\ \\ \Rightarrow x=18$