Question

If $PA$ and $PB$ are two tangents from a point $P$ to a circle with centre 0 and are inclined to each other an angle of ${80}^{\circ }$ , then find $\angle POA$ .

Answer 1

$2x={80}^0\therefore x={40}^0$

$then\theta +{90}^0+{40}^0={180}^0$

$\therefore \theta =\angle POA={50}^0$