In triangle, O, P, Q, comma△OPQ, start overline, Q, O, end overline, \cong, start overline, P, Q, end overline

Question

QO
​
≅
PQ
​
and m, angle, P, equals, 59, degrees, .m∠P=59
∘
. Find m, angle, Q, .m∠Q

Answer 1

Since the triangle is isosceles with QO ≅ PQ, the angles opposite those sides will also be congruent. Therefore, m∠Q = m∠P = 59°.