13. Prove the problem

In a circle, $PQ$ and $RS$ are two parallel chords. The transversals through $PR$ and $QS$ intersects each other at the centre $O$ of the circle. If $\angle$ $ORS$ $= 32 ^{\circ}$, then find the $\angle$ $POQ$ and check whether the chords are equal or not.

 

Answer:

 

1. The $\angle$ $POQ$ is $^{\circ}$

 

2. The chords are not equalequal.