triangle CDE~ triangle PQR m<C =13 degrees, m<D=65 degrees. what are the measures of angles P, Q and R

Since triangle CDE is similar to triangle PQR, the corresponding angles are equal.

We know that angle C = 13 degrees, so angle P = 13 degrees.

We also know that angle D = 65 degrees, so angle Q = 65 degrees.

Since the sum of the angles in a triangle is always 180 degrees, angle R = 180 - angle P - angle Q = 180 - 13 - 65 = 102 degrees.

Therefore, the measures of angles P, Q, and R in triangle PQR are: P = 13 degrees, Q = 65 degrees, and R = 102 degrees.