Question

Complete the statement if m gdf = 54 then m edf =

Answer 1

edf = 54 as well because both sides are congruent

Answer 2

Answer:

If m∠GDF = 54° then m∠EDF =54°.

Step-by-step 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°.