Question

△jkl≅△qrs
what is m∠q?
enter your answer in the box
□°

Explanation:

Step1: Use triangle angle sum property

The sum of angles in a triangle is \(180^{\circ}\). For \(\triangle JKL\), we know \(\angle J = 37^{\circ}\) and \(\angle K=105^{\circ}\). Let \(\angle L=x\). Then \(37^{\circ}+105^{\circ}+x = 180^{\circ}\).

Step2: Calculate \(\angle L\)

$$
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$$

Step3: Use congruent triangle property

Since \(\triangle JKL\cong\triangle QRS\), corresponding angles are equal. \(\angle Q\) corresponds to \(\angle J\).

Answer:

\(37\)