PQ and RQ are chords of a circle equidistant from the centre. Prove that the diameter passing through Q bisects ∠PQR and ∠PSR

Explanation

To prove that the diameter passing through point Q bisects angles ∠PQR and ∠PSR when PQ and RQ are chords of a circle equidistant from the center, we can follow these steps:

### Step-by-Step Solution:

1. **Draw the Circle and Chords**:
- Start by drawing a circle with center O.
- Draw two chords PQ and RQ such that they are equidistant from the center O. Let the perpendicular distances from O to the chords PQ and RQ be equal.

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