Okay, Given that these are vertical angles with each other, we can set them equal to each other. This means our equation to find out what x is, is
3x-3=2x+13
We now need to move like terms to each other. We can do this by adding 3 to both sides of the equation to cancel our the -3.
Our equation will now look like:
3x=2x+16
Now we will move the 2x over to the opposite side to get the 16 alone. We will need to subtract 2x from both sides.
This will leave us with
x=16. This means that we can now plug 16 in for the x value.
This means that angle
3(16)-3= 45
and
2(16)+13= 45.
This means that the measurement of each angle will be 45 degrees.
