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)`.

Step-by-step 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)`.