Answer:
<COB = 50°
Explanation:
We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:
3x + 94 + x + 18 + 2x - 4 = 180
Then, we can combine like terms:
6x + 108 = 180
6x = 72
x = 12
We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:
m<COB = m<COD + m<DOB
m<COB = x + 18 + 2x - 4
m<COB = 3x + 14
We have the value of x, so we can substitute that in:
<COB = 3(12) + 14
<COB = 36 + 14
<COB = 50°