Respuesta :

Answer:

[tex]m<COD=45\°[/tex]

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex]m<AOC+m<COD+m<DOB=180\°[/tex] ----> Is a straight line

substitute the values

[tex](3x+94)+(x+36)+(2x-4)=180\°[/tex]

[tex](6x+126)=180\°[/tex]

[tex]6x=180\°-126\°[/tex]

[tex]6x=54\°[/tex]

[tex]x=9\°[/tex]

step 2

Find the measure of angle COD

[tex]m<COD=(x+36)\°[/tex]

substitute the value of x

[tex]m<COD=(9+36)=45\°[/tex]

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