Question

If chords AB and PQ are equal, $\angle AOB={55}^{\circ }$, and $\angle POQ=x,$ then $x$ = ___.

Answer 1

Given, AB = PQ.
Since equal chords subtend equal angles at the centre, we have
$\angle AOB=\angle POQ.$
$\angle AOB={55}^{\circ }⟹x=\angle POQ={55}^{\circ }$