Final answer:
To find x, we can set the measures of angle 3 and angle 4 equal to each other, since they are vertical angles. Simplifying the equation gives us x = 14.
Step-by-step explanation:
To find x, we can set the measures of angle 3 and angle 4 equal to each other, since they are vertical angles. So we have the equation (3x+8) = (5x-20).
Simplifying the equation gives us 3x + 8 = 5x - 20.
Subtracting 3x from both sides gives us 8 = 2x - 20.
Adding 20 to both sides gives us 28 = 2x.
Finally, dividing both sides by 2 gives us x = 14.