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In similar triangles, the corresponding angles are congruent.
In triangle BCE, we have:
m∠B = 89°
m∠C = 13°
m∠E = 78°
In triangle JKL, the corresponding angles to the above angles in BCE are:
m∠J = m∠B = 89°
m∠K = m∠C = 13°
m∠L = m∠E = 78°
Therefore, m∠J = 89°.