Answer: [tex]x=105\°[/tex]
Step-by-step explanation:
You can identify from the given figure that the angle that measures 70 degrees is formed by two intersecting Chords.
It is important to remembe that, by definition:
[tex]Angle\ Formed\ by\ Two\ Chords =\frac{1}{2}(Sum\ of\ Intercepted\ Arcs)[/tex]
Based on this, you know that:
[tex]70\°=\frac{35\°+x}{2}[/tex]
Having this equation, the final step is to solve for "x" in order to find its value. You get that this is:
[tex](70\°)(2)=35\°+x\\\\140\°=35\°+x\\\\140\°-35\°=x\\\\x=105\°[/tex]
