2 Answers

Ivan Aranibar · Answer 1 · 2019-06-23T02:04:57+0000

Answer:

If m∠GDF = 54° then m∠EDF =54°.

Explanation:

Given information: m∠GDF = 54°,
$\angle GDF\cong \angle EDF$ ,
$\angle DGF\cong \angle DE F$ ,
$\angle DFG\cong \angle DFE$ .

We need to find the measure of angle EDF.

In triangle DFG and DFE,

$\angle GDF\cong \angle EDF$ (Given)

If two angles are congruent then their measures are equal.

$m\angle GDF=m\angle EDF$

It is given that m∠GDF = 54°.

Substitute the measure of ∠GDF in the above equation.

$54^(\circ)=\angle EDF$

Therefore the measure of angle EDF is 54°.

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