Angles of Similar Triangles Practice
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Question
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 measures 56 degrees.
To find the measure of angle B, we can use the fact that corresponding angles in similar triangles are congruent.
In the given information, it is mentioned that angle C in triangle ABC measures 34 degrees, and angle T in triangle SRT also measures 34 degrees.
Since triangle ABC and triangle SRT are similar, angle B in triangle ABC is congruent to angle R in triangle SRT.
Therefore, m∠B = m∠R = 56 degrees.