if Angle A=32 degrees. what must be the measure of angle D in order for Abc to be similar to Def?

Answer:
Option D is correct.
[tex]\angle D = 32^{\circ}[/tex]
Step-by-step explanation:
Given: [tex]\angle A = 32^{\circ}[/tex]
If triangle is similar to triangle DEF,
Two triangles are similar triangles if their corresponding angles are congruent and the corresponding sides are in proportion.
Corresponding Angles:
[tex]\angle B = \angle E = 90^{\circ}[/tex]
[tex]\angle C= \angle F[/tex]
[tex]\angle A = \angle D[/tex]
so,
[tex]\angle D = \angle A = 32^{\circ}[/tex]
therefore, the measure of angle D in order for ABC to be similar to DEF is,
[tex]32^{\circ}[/tex]