Question

Seg PM and seg PN are congruent chords of a circle

with centre C. Show that the ray PC is the bisector

of ∠NPM.​

Answer 1

Answer:

In ΔCPM and ΔCPN,

CP=CP

CM=CN(radius)

MP=NP(congruent chords)

⇒ By S.S.S congruency,

ΔCPM≅ΔCPN

⇒∠MPC=∠NPC

⇒∠x=∠y.

I hope it helps