Question

∆PQR is an isosceles triangle in which PQ = PR. Side QP is produced to M such that PM = PQ. Show that ∠QRM = 900​

Answer 1

Answer:

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Step-by-step explanation:

We have,

According to given figure.

PQ=PR(giventhat)

QS=SR(Bydefinationofmidpoint)

PS=PS(Commonline)

Then,

ΔSPQ≅ΔSPR (BY congruency S.S.S.)

Hence, PS bisects ∠PQR by definition of angle bisector.