Question

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

Answer 1

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:

`y=11`

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.