Question

In the figure below line de is parallel to line gg with transversal ag

Answer 1

From the problem with the information given we will have:

`5y-18=x`

&

`2x+2y=360`

Now, we will replace the value of "x" from the first equation into the second one and we will solve for "y", that is:

`2(5y-18)+2y=360\Rightarrow10y-36+2y=360`
`\Rightarrow12y=396\Rightarrow y=33`

Now, we replace this value of "y" in the first equation or the second one to obtain "x", We will replace in the first equation in this case:

`5(33)-18=x\Rightarrow x=147`

So, the values of x & y are respectively 147 & 33.