Question

Can someone answer this please

Answer 1

Answer:

<COB = 50°

Step-by-step 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°