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 ang

Question

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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RI SƠ 5 years 2021-08-12T20:56:17+00:00 1 Answers 12 views 0

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  1. Gerda
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    2021-08-12T20:57:45+00:00
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    Answer:

    A. \triangleDEF where \angle D = 75^{\circ} and \angle E = 20^{\circ}.

    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 \triangleABC and \triangleDEF, then \angle A \equiv \angle D and \angle B \equiv \angle E. Hence, \angle D = 75^{\circ} and \angle E = 20^{\circ}.

    In a nutshell, correct answer is A.

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