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If a chord PQ subtends an angle of ${110}^0$at the centre of the circle, then the measure of the angle subtending chord PQ at any point on the circle is

We know that the angle subtended by the chord at the centre is double the angle subtended by it at any point on the circle.

Hence, the measure of the angle subtending chord PQ at any point on the circle

 $=\frac{1}{2}\times {110}^0$

$={55}^o$