Question

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

Explanation:

Step1: Match congruent triangle sides

In $\triangle PQO$, side $PO = 70$ cm; in $\triangle STU$, side $ST = 70$ cm. In $\triangle PQO$, side $PQ = 63$ cm, $\angle O = 60^\circ$; in $\triangle STU$, side $SU = 50$ cm, $\angle T = 44^\circ$, $\angle U = 76^\circ$. Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angle

$\angle S$ corresponds to $\angle O$ in the congruent triangles, since the sides around the angles match the congruent side pairs.

Step3: Confirm angle measure

$m\angle O = 60^\circ$, so $m\angle S = m\angle O$.

Answer:

$60$