If m∠ABC = 53° and m∠ECD = 40°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC?

Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.

Yes, the AA similarity postulate can be used because a reflection over line f will establish that ≅ .

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

No, the AA similarity postulate cannot be used because a reflection over line f will establish that and are not congruent.

The true statement is (c) No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

The given parameters are:

[tex]\mathbf{\angle ABC = 53}[/tex]

[tex]\mathbf{\angle ECD = 40}[/tex]

From the image of the triangles (see attachment);

The triangles are similar if:

[tex]\mathbf{\angle ABC + \angle ECD = 90}[/tex]

Substitute the given values

[tex]\mathbf{53 + 40 = 90}[/tex]

[tex]\mathbf{93 = 90}[/tex]

The above equation is not true, because:

[tex]\mathbf{93 \ne 90}[/tex]

Hence, the triangles are not similar by AA

Read more about similar triangles at:

https://brainly.com/question/14926756