△SCA can be mapped onto triangle, M, B, G△MBG by a rotation. If m, angle, A, equals, 144, degreesm∠A=144
∘
and m, angle, S, equals, 28, degreesm∠S=28
∘
, find m, angle, Bm∠B
In triangle MBG, we have:
m∠A = m∠MBG = 144 degrees (since SCA can be mapped onto MBG by a rotation)
m∠S = m∠MGB = 28 degrees (since SCA can be mapped onto MBG by a rotation)
To find m∠B, we can use the fact that the sum of the angles in a triangle is 180 degrees.
m∠B = 180 - m∠MBG - m∠MGB
m∠B = 180 - 144 - 28
m∠B = 8 degrees
Therefore, m∠B is 8 degrees.