Page 3 - Lesson note 5 Angle subtended by arc Ch.- 10 Circle
P. 3
POQ = 2 PAQ = 2 PBQ (The angle subtended by an arc at the centre is double the angle
subtended by it at any point on the remaining part of the circle .)
Therefore, PAQ = PBQ.
Hence Proved.
Theorem 10.10 : If a line segment joining two points subtends equal angles at two other points
lying on the same side of the line containing the line segment, the four points lie on a circle (i.e.
they are concyclic).
