Since △ABC∼△DEF, this means that the corresponding angles are equal. So, m∠A=m∠D=52°. The sum of the angles in a triangle is always 180°. We can find the measure of angle C by subtracting the measures of angles A and B from 180°. Since m∠A=52°, and m∠B=180°-m∠A-m∠C=180°-52°-m∠C=128°-m∠C. Since △ABC∼△DEF, this means that the corresponding angles are equal. So, m∠E=m∠C=11°. Now we have the equation 11°=128°-m∠C. To find m∠C, we can subtract 128° from both sides of the equation: 11°-128°=-m∠C. Simplifying the equation gives us -117°=-m∠C. To solve for m∠C, we can multiply both sides of this equation by -1: -1*(-117°)=(-m∠C)*(-1). Simplifying the equation gives us 117°=m∠C. Therefore, m∠C=117°. So, the measure of angle C is 117°. Answer: \boxed{117}.
