Question

In triangle, O, P, Q, comma△OPQ, start overline, P, Q, end overline, \cong, start overline, O, P, end overline
PQ
​
≅
OP
and m, angle, O, equals, 56, degrees, .m∠O=56
∘
. Find m, angle, Q, .m∠Q.

Answer 1

Since OP = PQ, the triangle is isosceles with equal base angles at O and Q. Thus m∠Q = m∠O = 56°.