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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

Find The Values Of X And Y In The ParallelogramA46x2211 BO X 11 Y 24O X 24 Y 11Ox11 Y 46O X46 Y 11 class=

Sagot :

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

[tex]\begin{cases}DA=BC \\ AB=CD\end{cases}[/tex]

From the first one, we have:

[tex]y=11[/tex]

From the second one, we have:

[tex]\begin{gathered} x+22=46 \\ x=46-22 \\ x=24 \end{gathered}[/tex]

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

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