Answer:
If m∠GDF = 54° then m∠EDF =54°.
Step-by-step explanation:
Given information: m∠GDF = 54°, [tex]\angle GDF\cong \angle EDF[/tex], [tex]\angle DGF\cong \angle DE F[/tex], [tex]\angle DFG\cong \angle DFE[/tex].
We need to find the measure of angle EDF.
In triangle DFG and DFE,
[tex]\angle GDF\cong \angle EDF[/tex] (Given)
If two angles are congruent then their measures are equal.
[tex]m\angle GDF=m\angle EDF[/tex]
It is given that m∠GDF = 54°.
Substitute the measure of ∠GDF in the above equation.
[tex]54^{\circ}=\angle EDF[/tex]
Therefore the measure of angle EDF is 54°.
