Find the values of x and y in the parallelogram.A46x+2211 BO x= 11, y = 24O x = 24, y = 11Ox=-11, y = 46O x=46, Y =-11

Question

asked Nov 2, 2023 80.0k views

1 Answer

Dave Cheney · Answer 1 · 2023-11-06T02:10:24+0000

Since the opposite sides of a parallelogram are congruents, we can write the following equations:

$\begin{cases}DA=BC \\ AB=CD\end{cases}$

From the first one, we have:

From the second one, we have:

$\begin{gathered} x+22=46 \\ x=46-22 \\ x=24 \end{gathered}$

So we have x = 24 and y = 11, therefore the correct option is the second one.