cssa 05 circle geo (1 Viewer)

[hasterz]

how do you do 7aiii ?

ps anyone have sol to this paper?

thanks

 

[香港!]

how do you do 7aiii ?

ps anyone have sol to this paper?

thanks

Construst PB and PC
angle PBM=angle PBA (B,M,A are collinear)
angle PBA=angle PCA (angles at circumference standing on same arc PA are equal)
angle PCA=angle PCL (C,A,K are collinear)

But PNCL is a cyclic quadrilateral
.: angle PCL=angle PNL (angles at circumference of circle PNCL standing on same arc PL are equal)
Also angle PNL=angle PNM (N, M, L are collinear
.: angle PBM=angle PNM