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Suppose ;
[tex]the \: angle \: = \: x[/tex]
Thus the supplementary of x is :
[tex]180 - x[/tex]
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x angle measures 4° more than its supplementary ;
So :
[tex]x - (180 - x) = 4[/tex]
[tex]x - 180 + x = 4[/tex]
[tex]2x - 180 = 4[/tex]
Add sides 180
[tex]2x - 180 + 180 = 4 + 180[/tex]
[tex]2x = 184[/tex]
Divided sides by 2
[tex] \frac{2}{2}x = \frac{184}{2} \\ [/tex]
[tex]x = 92[/tex]
Thus the angles measures
are : 92° and 88°
DONE....
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