Question

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

Answer 1

Answer: 54 degrees…….

Answer 2

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°.