Question

△kjl≅△rsq. what is m∠j?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In \(\triangle RSQ\), we know \(\angle R = 79^{\circ}\) and \(\angle S=38^{\circ}\). Let \(\angle Q=x\). Then \(79 + 38+x=180\).

Step2: Calculate \(\angle Q\)

First, add the known angles: \(79 + 38=117\). Then \(x = 180-117=63^{\circ}\).

Step3: Use congruence property

Since \(\triangle KJL\cong\triangle RSQ\), corresponding angles are equal. \(\angle J\) corresponds to \(\angle Q\). So \(m\angle J=m\angle Q\).

Answer:

63