Question

in triangle PQR, PQ = PR and <R = 50°, find the measure of <Q

Answer 1

In triangle PQR
PQ=PR
R=50°
Q=50°(PQ=PR)
P=80°
Therefore the angles of the given triangle PQR are:
P=80°
Q=50°
R=50°

Answer 2

50° as both angles (Q and R) are base angles.
hope this helps you