If,
[tex]\angle1\cong\angle2[/tex]Means that both of the angles are being almost the same.
translated as the measurements of the angles must be the same
[tex]m\angle1=m\angle2[/tex]Means that everything is the same, if everything is the same when being overlapsed between them it will be the same.
This is known as the definition of congruence.
answer: c