△BCE ∼ △JKL . If m∠B = 89° , m∠C = 13° , and m∠E = 78° what is m∠J ?
Since the two triangles are similar, the corresponding angles of the two triangles are congruent.
From △BCE, we know that:
m∠B = 89°
m∠C = 13°
m∠E = 78°
Let's find the corresponding angle in △JKL.
The corresponding angle to ∠B is ∠J.
The corresponding angle to ∠C is ∠K.
The corresponding angle to ∠E is ∠L.
Therefore, m∠J = m∠B = 89°.