indiat05
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please help, thanks!

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Sagot :

Corsaquix

Answer:

[tex]x=99^{\circ},\\y=81^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of a polygon with [tex]n[/tex] sides is [tex]180(n-2)[/tex]. Since the shape in the figure has 5 sides, the sum of its interior angles is [tex]180(5-2)=180\cdot 2=540^{\circ}[/tex].

Therefore, we can set up the following equation:

[tex]95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}[/tex]

Since [tex]\angle x[/tex] and [tex]\angle y[/tex] make up one side of a line, they are supplementary, as each side of a line is [tex]180^{\circ}[/tex].

Thus, we have:

[tex]x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}[/tex]

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