Please help me now please

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

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral