Final answer:
To find x, set up an equation with the given information and solve for x. In this case, equate MZAOC and MZAOB, then solve the resulting equation for x. The value of x is -8.
Step-by-step explanation:
To find x, we need to set up equations using the given information:
From MZAOC = 8x + 21, we have equation 1: MZAOC = 8x + 21
From MZAOB = 6x + 5, we have equation 2: MZAOB = 6x + 5
From MZBOG = 4x², we have equation 3: MZBOG = 4x²
To solve for x, we need to set two of these equations equal to each other and solve for x:
Let's set equation 1 and equation 2 equal to each other: 8x + 21 = 6x + 5
Now, solve for x:
8x - 6x = 5 - 21
2x = -16
x = -8
So, x is equal to -8.