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mote1985 [20]
3 years ago
5

Find the answer for m∠EFD

Mathematics
1 answer:
valina [46]3 years ago
7 0

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.

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