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question in △efg, $overline{fg}congoverline{ef}$ and m∠e = 11°. find m∠g. answer attempt 1 out of 2
Step1: Identify isosceles - triangle property
Since $\overline{FG}\cong\overline{EF}$ in $\triangle EFG$, $\triangle EFG$ is an isosceles triangle. In an isosceles triangle, the angles opposite the congruent sides are equal. So $\angle G=\angle E$.
Step2: Determine the measure of $\angle G$
Given that $m\angle E = 11^{\circ}$, and $\angle G=\angle E$, then $m\angle G=11^{\circ}$.
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$11^{\circ}$