Question

Prove that ZPQM = ZPRM.
In the given figure, PQ = PR and MQ = MR.
P.
M
Q
R​

Answer 1

Answer:

In ∆PQR, we have

PQ = PR

Angle PQR = Angle PRQ __________________ (¹)

(ISOSCELES TRIANGLE PROPERTY)

In ∆MQR, we have

MQ = MR

Angle MQR = Angle MRQ _________________(²)

(ISOSCELES TRIANGLE PROPERTY)

Now, subtracting both the equation

Angle PQR – Angle MQR = Angle PRQ – Angle MRQ

We have,

Angle PQM = Angle PRM