Answer:
The false statement is: Angle L= Angle F.
Explanation:
"If △LMN≅△DEF" means that no matter the type of triangle it is, both of them will be similar respectively.
This being said you could have an isosceles, equilateral or scalene triangle. Let's analyze all three cases:
Case 1: The triangles are equilateral. Every angle will be equal, making all the statements true.
Case 2: The triangles are isosceles. Two of the angles will be equal.
If you start naming the first triangle from one of those equal angles then there is one way that both L and F are those equal angles, making all the statements true.
But if you start naming the first triangle from the different angle, makes the statement "Angle L= Angle F" FALSE.
Case 3: The triangles are scalene. Every angle is different. In this case it doesn't matter how you start naming the first triangle, the statement "Angle L= Angle F" is always FALSE.
Now, having analyzed every possibility we go back to the question itself. Given the way the question is written the false statement will be the one that happens at least in one possibility. This means the statement "Angle L= Angle F" is the false statement