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In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.

a Triangle DEF where angle D is 75o and angle E is 20o.
b Triangle DEF where angle D is 20o and angle F is 85o.
c Triangle DEF where angle D is 85o and angle E is 20o.
d Triangle DEF where angle D is 20o and angle E is 75o.

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Answer:

A. [tex]\triangle[/tex]DEF where [tex]\angle D = 75^{\circ}[/tex] and [tex]\angle E = 20^{\circ}[/tex].

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If [tex]\triangle[/tex]ABC and [tex]\triangle[/tex]DEF, then [tex]\angle A \equiv \angle D[/tex] and [tex]\angle B \equiv \angle E[/tex]. Hence, [tex]\angle D = 75^{\circ}[/tex] and [tex]\angle E = 20^{\circ}[/tex].

In a nutshell, correct answer is A.

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