Consider two circles with centers $O$ and $O'$ intersecting at $A$ and $B$. A line passing through $A$ intersects these circles at $C$ and $D$. Determine the angle $\widehat{C B D}$ in terms of the angle $\widehat{O A O'}$.

Determine the angle $\widehat{C B D}$ in function of the angle $\widehat{O A O'}$.
![](https://cdn.mathpix.com/cropped/2024_05_10_831e903be1b8a1180f82g-39.jpg?height=489&width=807&top_left_y=734&top_left_x=540)

\(\widehat{C B D}=180^{\circ}-\widehat{B C D}-\widehat{C D B}=180^{\circ}-\widehat{O^{\prime} O A}-\widehat{A O^{\prime} O}=\widehat{O A O^{\prime}}\).

The following exercise has not been covered in class.