Triangle CDE -triangle PQR m<C=13 m<D=65 what are the measurements of angles P,Q and R

Answer 1

Since triangle CDE and triangle PQR are similar, their corresponding angles are equal.

m<C = m<P = 13°
m<D = m<Q = 65°

To find angle R, we can use the fact that the sum of angles in a triangle is 180°.
m<R = 180° - m<P - m<Q
m<R = 180° - 13° - 65°
m<R = 102°

Therefore, the measurements of angles P, Q, and R are:
Angle P: 13°
Angle Q: 65°
Angle R: 102°