Question

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

Explanation:

Step1: Match congruent triangle sides

In $\triangle DEF$ and $\triangle ONM$:
$DE = ON = 73\ \text{cm}$, $FE = MN = 50\ \text{cm}$, $DF = MO = 80\ \text{cm}$
So $\triangle DEF \cong \triangle ONM$ (SSS congruence)

Step2: Identify corresponding angles

Corresponding angles of congruent triangles are equal. $\angle N$ corresponds to $\angle E$.

Step3: Get measure of $\angle N$

$m\angle E = 79^\circ$, so $m\angle N = m\angle E$

Answer:

$79$