#### Answer

Q=$42^{\circ}$, B=R=$48^{\circ}$

#### Work Step by Step

Since the triangles are similar, all corresponding angles are the same. AT P and C the angle is $90^{\circ}$. At A the angle is $42^{\circ}$, therefore at Q it is the same, $42^{\circ}$. At both B and R, the angles are $180^{\circ}-90^{\circ}-42^{\circ}=48^{\circ}$.