Explanation

Since ABC and PAR are similar triangles, their corresponding angles are equal.

Given:

∠A = 47°

∠Q = 83° (which corresponds to ∠B in triangle ABC)

We know that the sum of angles in a triangle is 180°. Let's find ∠C:

∠A + ∠B + ∠C = 180°

47° + 83° + ∠C = 180°

∠C = 180° - 47° - 83°

∠C = 50°