In this question , it is given that
△ABC∼△EFG .
Given m∠C=52° and m∠E=61°
Since the triangles are similar, so we have
m∠C=m∠G=52°
m∠A=m∠E=61°
m∠B=m∠F=x
And sum of measurements of angles of a triangle is 180 degree, that is
[tex] m \angle A + m \angle B + \angle C = 180 [/tex]
[tex] 52+61+x =180 \\ 113 +x = 180 \\ 113+x-113 = 180-113 \\ x = 67 [/tex]
So the measurement of angle B is 67 degree.
