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  • 22-01-2022
  • Mathematics
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two angles are supplementary. one angle has a measure that is eight more than three times the other. what is the measure of the smaller angle?

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Аноним Аноним
  • 22-01-2022

[tex]\huge\fbox{Answer ☘}[/tex]

let the smaller angle be x

let the greater angle be ( 3x + 8 )

According to Question ,

[tex]\\\bold{x + (3x + 8) = 180 }\\ \\4x + 8 = 180 \\\\ 4(x + 2 )= 180° \\\\ x + 2 = \frac{180}{4} \\\\ x + 2 = 45° \\ \\ x = 45 - 2 \\\\ x = 43°[/tex]

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