Since triangle ABC is similar to triangle DEF, the angles are the same. So angle B will be the same as angle E, and angle C the same as angle F.
angle F + angle E + angle D = 180 (angle sum property of a triangle)
angle F = 180 - 113 - 45
angle F = 22 degrees
angle C = angle F (triangles are similar)
angle C = 22 degrees
