If △ABC∼△SRT, what is m∠B
a=90
c=34
r=56
s=90
t=34
Given that △ABC∼△SRT, we know that the corresponding angles of the triangles are equal. Therefore, m∠B = m∠S.
In triangle SRT, given that s = 90 and t = 34, the sum of the angles in a triangle is 180 degrees. Therefore, m∠S = 180 - s - t = 180 - 90 - 34 = 56 degrees.
Therefore, m∠B = m∠S = 56 degrees.