show that triangle POR is an equilateral triangle

Dear student

Following is the solution of your question

Given ΔPQR is isosceles so ‹P = ‹Q

Also ‹P + ‹Q+‹R = 180^o  .....(i)

Again in ΔQOR

  

o

So = 60^o

or o

Now ‹P = ‹Q

so ‹P = ‹Q =60^o

From (i) o 

So ΔPQR is equilateral.

Regards

Team topperlearning