Question

please answer this question fast .it is so urgent

the figure two chords AB and CD of the same circle are parallel to each other .P is the centre of the circle show that angle CPA congruent angle DPB​

Answer 1

Now to show that CPA and DPB are
congruent ,we had to first congruent
the two A APC and DPB.

In both the triangles

PC PB [ Radius of the circle]

PBD <PCA [ Alternate angles of
parallel lines]

PDB <PAC[ Alternate angles of
parallel lines]

From AAS criterion of Congruency both
the Triangles ACPA and ADPB

so,
CPA DPB [by C.P.C.T.]
hence proved