In \triangle EFG,△EFG, \overline{GE}\cong \overline{FG} GE ≅ FG and \text{m}\angle F = 55^{\circ}.M∠F=55 Find \text{m}\angle E.M∠E

Answers

Answer 1

Answer: [tex]\text{m}\angle E=55^{\circ}[/tex].

Explanation:

We are given that,

In △EFG,

[tex]\overline{GE}\cong \overline{FG}[/tex]

[tex]\text{m}\angle F = 55^{\circ}[/tex]

To find: [tex]\text{m}\angle E[/tex]

As we know that, angles opposite to the congruent sides of a triangle are congruent.

Thus, In △EFG

if [tex]\overline{GE}\cong \overline{FG}[/tex] and [tex]\text{m}\angle F = 55^{\circ}[/tex]

then it implies [tex]\text{m}\angle F =\text{m}\angle E= 55^{\circ}[/tex]

Hence, we get [tex]\text{m}\angle E=55^{\circ}[/tex].


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The answer is D

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