Find the value of x.

Answer:
Step-by-step explanation:
The rule for the external angles in circles is that the angle is half the difference between the larger and the smaller arc. In algebraic form:
[tex]55=\frac{1}{2}(135-x)[/tex]
Start by multiplying both sides by 2:
110 = 135 - x so
-25 = -x and
x = 25