Answer:
x = 10
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
8(x-1) = 6(x+2)
Distribute
8x-8 = 6x+12
Subtract 6x from each side
8x-8 -6x = 6x+12-6x
2x-8 = 12
Add 8 to each side
2x-8+8 = 12+8
2x=20
Divide by 2
2x/2 = 20/2
x must be 10
The two angles shown are "vertical angles" and are thus equal.
So 8(x - 1) = 6(x + 2), or (after carrying out the indicated multiplication):
8x - 8 = 6x + 12, or
2x = 20
Then x must be 10.
