Question

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

Answer 1

Answer: $\text{m}\angle E=55^{\circ}$.

Explanation:

We are given that,

In △EFG,

$\overline{GE}\cong \overline{FG}$

$\text{m}\angle F = 55^{\circ}$

To find: $\text{m}\angle E$

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

Thus, In △EFG

if $\overline{GE}\cong \overline{FG}$ and $\text{m}\angle F = 55^{\circ}$

then it implies $\text{m}\angle F =\text{m}\angle E= 55^{\circ}$

Hence, we get $\text{m}\angle E=55^{\circ}$.