Answer:
x= -20
Step-by-step explanation:
The 2 angles are opposite each other. Therefore, they are vertical angles and congruent. We can set them equal to each other and solve.
6x+238=3x+178
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
First, subtract 3x from both sides
6x-3x+238=3x-3x+178
6x-3x+238=178
3x+238=178
Next, subtract 238 from both sides
3x+238-238=178-238
3x=178-238
3x=-60
Finally, divide both sides by 3.
3x/3= -60/3
x=-60/3
x= -20
