Answer:
Given : PQR is a triangle.
Such that, [tex]PQ \cong PR[/tex]
Prove: [tex]\angle Q \cong \angle R[/tex]
Construct median PM.
⇒M is the mid point of line segment QR ( by the definition of median )
Therefore, [tex]QM\cong MR[/tex] (By the definition of mid point)
[tex]PQ\cong PR[/tex] (given)
[tex]PM \cong PM[/tex]( reflexive)
Thus, By SSS congruence postulate,
[tex]\triangle PQM \cong \triangle PRM[/tex]
Thus, BY CPCTC,
[tex]\angle Q\cong \angle R[/tex]
Hence proved.
