Question

If K//l find the value of a and the value of b.

Answer 1

The triangles are similar, so corresponding sides are proportional.
\[\frac{ a }{ a+15 }=\frac{ b }{ b+20 }=\frac{ 40 }{ 60 }\]
40/60 reduces to 2/3 and it may be simpler to break this into 2 equations
\[\frac{ a }{ a+15 }=\frac{ 2 }{ 3}\]
\[\frac{ b }{ b+20 }=\frac{ 2 }{ 3}\]
Cross multiply to solve