Question

Solve for x. given that:k || l respectively and m(

Answer 1

We know that angles 4c+c+4alpha+alpha=180 degrees and recalling that the inner triangles of a triangle add up 180 degrees we get:

`\begin{gathered} 5c+5\alpha=180^(\circ)\Rightarrow c+\alpha=(180^(\circ))/(5)=36^(\circ) \\ \alpha+c+x=180^(\circ) \\ \Rightarrow \\ x=180^(\circ)-c-\alpha^{}=180^(\circ)-36^(\circ)=144^(\circ) \\ \end{gathered}`

Answer: x=144 degrees.