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I've been trying to do this one for a bit,deleted my wrong answer from the box,

since Q are common in both of them,I assumed that would help with the working out

petri  Oct 4, 2018

Best Answer 

 #1
avatar+7340 
+2

We are given that PQR  is an isosceles triangle in which PQ = PR .

Since the base angles of an isosceles triangle are congruent,

∠PQR  =  ∠PRQ

 

And we are given that

∠MRQ  =  ∠NQR

 

And we know that  QR  =  QR

 

Now if we split the triangles in the picture up we can see it more clearly...

 

 

By the ASA congruency theorem, we can say that △QNR is congruent to △RMQ.

hectictar  Oct 4, 2018
 #1
avatar+7340 
+2
Best Answer

We are given that PQR  is an isosceles triangle in which PQ = PR .

Since the base angles of an isosceles triangle are congruent,

∠PQR  =  ∠PRQ

 

And we are given that

∠MRQ  =  ∠NQR

 

And we know that  QR  =  QR

 

Now if we split the triangles in the picture up we can see it more clearly...

 

 

By the ASA congruency theorem, we can say that △QNR is congruent to △RMQ.

hectictar  Oct 4, 2018

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