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

Question

asked May 16, 2023 53.7k views

1 Answer

Kaskelotti · Answer 1 · 2023-05-22T15:04:46+0000

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.