Use the image to answer the question.
An illustration shows two right triangles with congruent corresponding angles. Triangle A B C is larger than triangle S R T. In triangle A B C, angle A measures 90 degrees, angle B does not have a measurement, and angle C measures 34 degrees. In triangle S R T, angle S measures 90 degrees, angle R measures 56 degrees, and angle T measures 34 degrees.
If △ABC∼△SRT , what is m∠B ?
(1 point)
m∠B =
°
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Since triangle ABC is similar to triangle SRT, it means that the corresponding angles are congruent.
We know that angle A is 90 degrees in triangle ABC.
From triangle SRT, we know that angle S is 90 degrees.
Therefore, angle B in triangle ABC must be congruent to angle R in triangle SRT.
Since angle R measures 56 degrees, we can conclude that angle B in triangle ABC measures 56 degrees.
Therefore, m∠B = 56 degrees.