In the above figure tangents \(PA\) and \(PB\) from a point \(P\) to a circle with centre \(O\) are inclined to each other at an angle of \(60^\circ\), then \(\angle POA =\) _____.
Show Hint
For two tangents drawn from an external point:
\[
\angle \text{between tangents} + \angle \text{at center} = 180^\circ
\]
Also remember:
\[
\text{Radius} \perp \text{Tangent}
\]
These two properties solve most tangent-circle angle problems very quickly.
