Question

Find the answer for m∠EFD

Answer 1

Given:

In triangle DEF,
`DE = EF` and
`m\angle 98^\circ`.

To find:

The measure of angle EFD.

Solution:

In triangle DEF,

`DE = EF` (Given)

It means triangle DEF is an isosceles triangle.

`m\angle EDF=m\angle EFD` (Base angles of an isosceles triangle are equal)

Using angle sum property in triangle DEF, we get

`m\angle DE F+m\angle EFD+m\angle EDF=180^\circ`

`98^\circ +m\angle EFD+m\angle EFD=180^\circ`

`2m\angle EFD=180^\circ-98^\circ`

`2m\angle EFD=82^\circ`

Divide both sides by 2.

`m\angle EFD=(82^\circ)/(2)`

`m\angle EFD=41^\circ`

Therefore, the measure of angle EFD is 41 degrees.