ABC is an acute angled triangle with circumcenter O and orthocentre H. If AO=AH, then find the angle A.

Explanation

To solve the problem, we need to find the angle \( A \) in triangle \( ABC \) given that the circumradius \( AO \) is equal to the distance from the orthocenter \( AH \). Here are the steps to arrive at the solution:

### Step-by-Step Solution:

1. **Understanding the Triangle and Points**:
- We have triangle \( ABC \) with circumcenter \( O \) and orthocenter \( H \).
- The circumcenter \( O \) is the point where the perpendicular bisectors of the sides intersect, and it is equidistant from all three vertices of the triangle.

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