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
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.
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.