Question

If Angle AOC =85 and angle BOC=2x+10 and angleAOB=4x-15 find the degress measure of BOC and AOB

Answer 1

Answer:

m angle BOC 120

m angle AOB 205

Step-by-step explanation:

So you are given mangle AOC+mangle BOC=mangle AOB.

mangle means measure of angle.

Let's do some substituting into our equation.

85+2x+10=4x-15

Solve for x... First I'm going to combine the like terms on the left hand side:

95+2x=4x-15

Add 15 on both sides

110+2x=4x

Subtract 2x on both sides

110     =2x

Divide both sides by 2

110/2   =x

x         =110/2

x          =55

So Recall mangle BOC=2x+10   =2(55)+10=110+10=120

And you also have mangle AOB=4x-15=4(55)-15=220-15=205