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

Question

asked Sep 27, 2019 219k views

2 Answers

Spilarix · Answer 1 · 2019-10-01T18:30:09+0000

Answer:

Option D is correct.

$\angle D = 32^(\circ)$

Explanation:

Given:
$\angle A = 32^(\circ)$

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:

$\angle B = \angle E = 90^(\circ)$

$\angle C= \angle F$

$\angle A = \angle D$

so,

$\angle D = \angle A = 32^(\circ)$

therefore, the measure of angle D in order for ABC to be similar to DEF is,

$32^(\circ)$