Question

What is the value of x, given that Line PQ is parallel to Line BC ?

Answer 1

Since PQ is parallel to BC we have :
\[\frac{AQ}{AC}=\frac{AP}{AB}\]
So :
\[\frac{x}{x+36}=\frac{8}{40}=\frac15\]
so :
\[5x=x+36\]
so
\[4x=36\]
so
\[x=\frac{36}{4}=9\]

Answer 2

Thank you!