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.
[tex]\text{Angle formed by two chords=}\frac{1}{2}\cdot(\text{m arc AB + m arc CD)}[/tex]Replacing terms:
[tex]\text{Angle formed by two chords=}\frac{1}{2}\cdot(140+150)[/tex]Adding numbers:
[tex]mSimplifying:[tex]mThe solution is x=145 degrees
