Question

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△efg≅△jkl
what is m∠k?
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Explanation:

Step1: Use the triangle angle - sum theorem

In \(\triangle EFG\), by the triangle angle - sum theorem (\(m\angle E+m\angle F + m\angle G=180^{\circ}\)). Given \(m\angle G = 53^{\circ}\) and \(m\angle F=62^{\circ}\). Then \(m\angle E=180-(53 + 62)\).

$$m\angle E=180 - 115=65^{\circ}$$

Step2: Use the property of congruent triangles

Since \(\triangle EFG\cong\triangle JKL\), corresponding angles are equal. That is \(m\angle E=m\angle J\), \(m\angle F=m\angle K\), \(m\angle G=m\angle L\).

Answer:

\(62^{\circ}\)