Question

these figures are congruent. what is ( mangle s )?

Explanation:

Step1: Match congruent triangle parts

Identify corresponding sides: $GH = RS = 50$ cm, $\angle G = \angle R = 43^\circ$, $\angle I = \angle T = 58^\circ$. So $\angle S$ corresponds to $\angle H$.

Step2: Get measure of $\angle S$

Since congruent triangles have equal corresponding angles, $m\angle S = m\angle H$.

Answer:

$79^\circ$