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  • 18-12-2020
  • Mathematics
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40 POINTS Geometry homework

40 POINTS Geometry homework class=

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Аноним Аноним
  • 15-01-2021

[tex]\angle{DBC }[/tex]=(5x+4)°

[tex]\angle{ A }[/tex]=(2x-2)°

[tex]\angle{C }[/tex]=(4x-6)°

we know that,

[tex]\angle{DBC}[/tex]=[tex]\angle{A}[/tex]+[tex]\angle{C}[/tex]

According to the question,

[tex]\tt{ 5x+4=2x-2+4x-6 }[/tex]

[tex]\tt{ 5x+4=6x-8 }[/tex]

[tex]\tt{ 6x-5x=4+8 }[/tex]

[tex]\blue{x=12 }[/tex]

so,

[tex]\angle{C }[/tex]=(4x-6)°=(4×12-6)°=(48-6)°=42°

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