Two chords AB and AC of a circle subtends angles equal to `90^(@) and 150^(@)`, respectively at the centre. Find`angleBAC`, if AB and AC lie on the opposite sides of the centre.

Explanation

To solve the problem, we need to find the angle \( \angle BAC \) formed by the two chords \( AB \) and \( AC \) that subtend angles of \( 90^\circ \) and \( 150^\circ \) at the center \( O \) of the circle. Let's break this down step by step.

### Step 1: Understand the Given Information
We have:
- Chord \( AB \) subtends an angle of \( 90^\circ \) at the center \( O \).
- Chord \( AC \) subtends an angle of \( 150^\circ \) at the center \( O \).
- Chords \( AB \) and \( AC \) lie on opposite sides of the center.

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