14. Prove the problem

In a circle, \(AB\) and \(CD\) are two parallel chords. The transversals through \(AC\) and \(BD\) intersects each other at the centre \(O\) of the circle. If \(\angle\) \(OCD\) \(= 55 ^{\circ}\), then find the \(\angle\) \(AOB\) and check whether the chords are equal or not.

 

Answer:

 

1. The \(\angle\) \(AOB\) is \(^{\circ}\)

 

2. The chords are not equalequal.