Circle Tangent Chord 74Bc4D

1. The problem describes a circle with center $O$, a tangent $P_i$ touching the circle at point $i$, and a chord $iQ$ inside the circle. 2. The chord $iQ$ subtends an angle $3x$ at the center $O$ and an angle $120^\circ$ at a point $S$ on the circumference below the chord. 3. To illustrate this, draw a circle with center $O$. 4. Mark point $i$ on the circumference and draw the tangent line $P_i$ touching the circle at $i$. 5. Draw chord $iQ$ inside the circle. 6. Mark point $S$ on the circumference below the chord $iQ$. 7. Label the angle subtended by chord $iQ$ at $O$ as $3x$ and the angle subtended at $S$ as $120^\circ$. This diagram visually represents the problem setup for further calculations.