Question

In the given figure , PQ = PR and QO = OR, then prove that angle PQO = angle PRO​

Answer 1

Step-by-step explanation:

Given that, ∠PQR=∠PRQ

from above figure, we have,

∠PQS=180−∠PQR

∠PRT=180−∠PRQ

∠PRT=180−∠PQR

∴∠PQS=∠PRT

Answer 2

Step-by-step explanation:

Given:-

PQ = PR

QO = OR

To prove:-

∠PQO = ∠PRO

Construction:-

Join PO

Solution:-

In ΔPQO & ΔPRO

RO = PO (Given)

QO = OR (Given)

PO = PO (Common)

∴ ΔPQO ≅ ΔPRO  (S.S.S Congruence)

Hence, ∠PQO = ∠PRO

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