There is such a thing as similar triangles: triangles of different sizes, yet which have congruent (\( \cong \)) angles.
For example, two equilateral triangles of different sizes still have all their angles equal to \( 60^\circ \).
So just knowing the angles tells us nothing about the size of the sides.
In the triangle, \(\triangle ABC\sim \triangle AED\) since \(\angle BAC\cong \angle EAD, \angle ABC\cong \angle AED\) and \(\angle BCA\cong\angle EDA\).