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]
