Question

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

Explanation:

Step1: Match congruent triangle parts

$\triangle EFG \cong \triangle QSR$ (matching sides: $EF=QS=57$ m, $\angle E=\angle Q=43^\circ$, $\angle F=\angle S=59^\circ$)

Step2: Identify corresponding angles

$\angle G$ corresponds to $\angle R$

Step3: Get $\angle R$ measure

$m\angle R = 78^\circ$, so $m\angle G = 78^\circ$

Answer:

$78$