EXPLANATION
Given the circle with the angles, by definition, when two chords intersect inside a circle, four angles are formed.
At the point of intersection, two sets of congruent vertical angles are formed in the corners of the x that appears.
![\text{Angle formed by two chords=}(1)/(2)\cdot(\text{m arc AB + m arc CD)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/fwsagcfqcec7rwb8ca5rvkpaoq9i50dcbe.png)
Replacing terms:
![\text{Angle formed by two chords=}(1)/(2)\cdot(140+150)](https://img.qammunity.org/2023/formulas/mathematics/high-school/15jyb9hw9xe0qaqwxf8xp2jatagsezhxhh.png)
Adding numbers:
[tex]mSimplifying:[tex]mThe solution is
x=145 degrees