Question

these figures are congruent. what is m∠s?

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In congruent triangles $\triangle CDE$ and $\triangle QRS$, $\angle S$ corresponds to $\angle E$.

Step3: Find the measure of $\angle E$

From $\triangle CDE$, we see that $m\angle E = 79^{\circ}$. Since $\angle S$ and $\angle E$ are corresponding angles of congruent triangles, $m\angle S=m\angle E$.

Answer:

$79$