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question 30 of 33 if ∠a = 32°, what must be the measure of ∠d in order …

Question

question 30 of 33
if ∠a = 32°, what must be the measure of ∠d in order for △abc to be similar to △def?
a. 58°
b. 23°
c. 32°
d. 16°

Explanation:

Step1: Recall similarity of triangles

For two right - angled triangles $\triangle ABC$ and $\triangle DEF$ to be similar, corresponding angles are equal.

Step2: Identify corresponding angles

$\angle A$ in $\triangle ABC$ and $\angle D$ in $\triangle DEF$ are corresponding angles.

Answer:

C. $32^{\circ}$