Answer:
[tex]x=49^o[/tex]
Step-by-step explanation:
We know that we are dealing with parallel lines, as there are double headed arrows on each of the lines, pointing in the same direction.
This means we can use corresponding / alternate angle laws.
We know that the angles on a straight line add up to [tex]180^0[/tex], so we can solve for the angle just above the [tex]131^o[/tex] to try and see if that will help us.
[tex]131 + \theta = 180[/tex] (Our angle, added to another angle we don't know yet is 180)
Solve for [tex]\theta[/tex]
[tex]\theta = 49[/tex]
We can now apply the corresponding angle law, (as we have an 'F' shape), to determine that:
[tex]x=\theta = 49[/tex]
