If `O` is the circumcentre of a ` A B C` and `O D_|_B C ,` prove that `/_B O D=/_adot`

Explanation

To prove that angle \( \angle BOD = \angle A \), we will follow these steps:

### Step 1: Understand the Given Information
We know that \( O \) is the circumcenter of triangle \( ABC \), which means it is the center of the circumcircle of triangle \( ABC \). The line \( OD \) is perpendicular to line segment \( BC \).

### Step 2: Draw the Diagram
Draw triangle \( ABC \) with circumcenter \( O \). Draw the line \( OD \) such that it is perpendicular to \( BC \). Label the points accordingly.

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