Question

In triangle, J, K, L, comma△JKL, start overline, L, J, end overline, \cong, start overline, K, L, end overline
LJ
≅
KL
and m, angle, K, equals, 10, degrees, .m∠K=10
∘
. Find m, angle, J, .m∠J.

Answer 1

LJ ≅ KL so triangle JKL is isosceles with vertex at L. Therefore the base angles at J and K are congruent: ∠J = ∠K. Given m∠K = 10°, m∠J = 10°.