The values of x and y are required.
[tex]x=7[/tex] and [tex]y=16[/tex]
From the given figure the sides [tex]y-4[/tex] and [tex]x+5[/tex] are equal.
Also, [tex]2x+5[/tex] and [tex]x+12[/tex] are equal.
So,
[tex]2x+5=x+12\\\Rightarrow 2x-x=12-5\\\Rightarrow x=7[/tex]
[tex]y-4=x+5\\\Rightarrow y-4=7+5\\\Rightarrow y=7+5+4\\\Rightarrow y=16[/tex]
Hence, [tex]x=7[/tex] and [tex]y=16[/tex]
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