Respuesta :

Step-by-step explanation:

1.

ABE and ACD.

yes, they are similar, as all 3 pairs of sides have the same orientation, and therefore in all 3 pairs of angles the 2 angles are identical.

so, the AAA (Angle-Angle-Angle) criteria applies :

if two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar. and especially, when all 3 respective angle pairs are already clear to be equal amongst each other.

not to forget : the sum of all angles in a triangle is always 180°. so, when we know 2 angles, we automatically know the third angle too.

2.

AB/BC = AE/ED

AC/AB = AD/ED

(AE + ED)/(AB + BC) = AD/AC