Answer:
58°
Explanation:
Refer to the letters in my diagram.
Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.
Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.
Now, since the sum of all internal angles in a triangle is 180°, we have ,
![x+32\°+90\°=180\°\rightarrow x = 58°](https://img.qammunity.org/2023/formulas/mathematics/high-school/ba3knuisbwd9s6zb5cl382ze9b3wbbtg0f.png)