Question

What values of X and Y prove the following quadrilateral a parallelogram

Answer 1

We solve as follows:

*First: We will solve for x:

`2x=70\Rightarrow x=35`

*Second: We will solve for y using x:

`3x+5=x+3y\Rightarrow3(35)+5=(35)+3y\Rightarrow110=35+3y`
`\Rightarrow75=3y\Rightarrow y=25`

So, the values of x & y that would make the quadrilateral a parallelogram are 35 & 25 respectively.