Answer:
42 i hope this helps! :)
Step-by-step explanation:
we are given a 90 degree angle
so the measurement of BOC and AOB should add up to 90 degrees all together
we are trying to find the measurement of angle BOC right?
so lets combine the equations that we are given for both angles
measure of angle BOC = 6x - 6
measure of angle AOB = 5x + 8
6x - 6 + 5x + 8 = 90
lets combine like terms with the variable of x
11x - 6 + 8 = 90
combine like terms again with the regular numbers
11x + 2 = 90
subtract 2 from both sides of the equation to get
11x = 88
lets divide both sides by the value of 11
x = 8
now we know the value of x, so we can now plug that into the equation of angle BOC
48 - 6 = 42
measure of angle BOC is 42 degrees
