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.

$m\angle EFD=\dfrac{82^\circ}{2}$

$m\angle EFD=41^\circ$

Therefore, the measure of angle EFD is 41 degrees.