29. Exemplar exercise problems IV

1. In figure, if $O$ is the centre of a circle, $PQ$ is a chord and the tangent $PT$ at $P$ makes an angle of $50^\circ$ with $PQ$ then $\angle POQ$ is equal to

 

2. In figure, if $PA$ and $PB$ are tangents to the circle with centre $O$ such that $\angle APB = 50^\circ$ , then $\angle OAB$ is equal to