40 POINTS Geometry homework

asked Sep 27, 2021 53.8k views

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$\angle{DBC }$ =(5x+4)°

$\angle{ A }$ =(2x-2)°

$\angle{C }$ =(4x-6)°

we know that,

$\angle{DBC}$ =
$\angle{A}$ +
$\angle{C}$

According to the question,

$\tt{ 5x+4=2x-2+4x-6 }$

$\tt{ 5x+4=6x-8 }$

$\tt{ 6x-5x=4+8 }$

$\blue{x=12 }$

so,

$\angle{C }$ =(4x-6)°=(4×12-6)°=(48-6)°=42°

Clemens answered Oct 1, 2021

5.3k points

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