Since triangle CDE is similar to triangle PQR (denoted as CDE ~ PQR), the corresponding angles are equal.
Given the measures of angles in triangle CDE:
- m∠C = 13°
- m∠D = 65°
We can find the measure of angle E using the fact that the sum of the angles in a triangle is 180°:
\[ m∠E = 180° - m∠C - m∠D \]
\[ m∠E = 180° - 13° - 65° = 180° - 78° = 102° \]
Now, since triangle CDE is similar to triangle PQR, we have:
- m∠P = m∠C = 13°
- m∠Q = m∠D = 65°
- m∠R = m∠E = 102°
So, the measures of angles P, Q, and R are:
- m∠P = 13°
- m∠Q = 65°
- m∠R = 102°
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