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.