Answer:
[tex]\angle AOC=66[/tex]
Step-by-step explanation:
For two intersecting chords, the angle formed is half the sum of the measure of the arcs intercepted by the angle and its vertically opposite angle.
This means that:
[tex]58\degree=\frac{1}{2}( 50+\angle AOC)[/tex]
Multiply through by 2 to get:
[tex]116=50+\angle AOC[/tex]
Subtract 50 from both sides;
[tex]\angle AOC=116-50=66[/tex]
[tex]\angle AOC=66[/tex]
