Answer: [tex]x=76\°[/tex]
Step-by-step explanation:
By definition the angle formed by the intersection of two chords inside a circle is:
[tex]Angle\ formed\ by\ two\ Chords=\frac{sum\ of\ intercepted\ Arcs}{2}[/tex]
You can observe in the figure that the angle formed by the intersection of the two chords measures 94°, and the intercepteed arcs are: x° and 112°.
Therefore, you need to substitute these values into the formula and solve for "x to find its value. Then:
[tex]94\°=\frac{x+112\°}{2}\\\\(94\°)(2)=x+112\°\\\\188\°-112\°=x\\\\x=76\°[/tex]
