Consider a clock dial where the tip of the hour hand and minute hand mark points on a circle. At a certain instant, the arc between the hands subtends an angle of \(130°\) at the centre \(O\). A point \(P\) on the remaining part of the circle sees the same arc.
(i) The measure of \(\angle APB\) is _________\(^\circ\).
(ii) Can \(∠APB\) ever be greater than \(90°\) if central angle is less than \(90^\circ\)?
(iii) What is the ratio of \(\angle APB\) to \(\angle AOB\)?
(iv) In a clock, the minute hand is at \(6\) and the hour hand is at \(12\). What angle will the two hands subtend at any point \(Q\) on the circular face of the clock?