Theorem:- If the line segment joining two points subtends equal angles at two other points lying on the same side of the line segment; the four points are concyclic. i.e lie on the same circle.

Explanation

To prove that if the line segment joining two points subtends equal angles at two other points lying on the same side of the line segment, the four points are concyclic, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Points**: Let the points be \( A \), \( B \), \( C \), and \( D \) such that the line segment \( AB \) subtends equal angles at points \( C \) and \( D \). This means that \( \angle ACB = \angle ADB \).

**Hint**: Start by clearly labeling the points and the angles you need to prove are equal.

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