Question

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

Explanation:

Step1: Match congruent triangle sides

In $\triangle MNO$ and $\triangle STU$: $MN = ST = 50$ cm, $MO = SU = 56$ cm. So $\angle O$ corresponds to $\angle U$.

Step2: Calculate $\angle O$ in $\triangle MNO$

Sum of angles in a triangle is $180^\circ$.
$\angle O = 180^\circ - 39^\circ - 79^\circ = 62^\circ$, which matches $\angle U=62^\circ$, confirming correspondence.

Step3: Identify $\angle S$'s corresponding angle

$\angle S$ corresponds to $\angle N$ in $\triangle MNO$.

Answer:

$79^\circ$