Given that triangles \( CDE \) and \( PQR \) are similar (denoted as \( CDE \sim PQR \)), the measures of the corresponding angles are equal.
You provided:
- \( m/C = 13^\circ \)
- \( m/D + 65 = m/P \)
To find \( m/D \):
- Since \( CDE \sim PQR \), the angles that correspond to each other are:
- \( m/C = m/P \)
- \( m/D = m/Q \)
- \( m/E = m/R \)
Since \( m/C = 13^\circ \), we can say: \[ m/P = 13^\circ \]
From the given \( m/D + 65 = m/P \): \[ m/D + 65 = 13 \]
Now, we can solve for \( m/D \): \[ m/D = 13 - 65 \] \[ m/D = -52 \]
This result does not make sense in the context of angle measures, which should be positive. It is essential to re-evaluate the addition or equation.
Let's assume that you meant \( m/D = x \): \[ x + 65 = 13 \] \[ x = 13 - 65 \] \[ x = -52 \]
If we interpret this correctly, and given that \( -52 \) is not possible, there may be a misunderstanding in interpreting \( m/D + 65 \).
To clarify:
- If \( m/D) + 65 \) is \( m/P \) but miswritten mathematically, or any other conditions applied differently.
- Based on what we have, suggesting review or more detail about relation specificity with angle measurement references directly would help.
Assuming another approach and solving deviations or adjustments or completion leading up would require establishing what was meant definitively solving for angles; please clarify if more information or precise angle/referring method was applied.
For angles in triangles where total angle sum is constrained to \( 180^\circ \): Combine for each angle \( CDE \) measures and translate with similar properties/calibrate values referencing correctly contextual framework or providing distinct variable clarifications.
If \( m/E \) was \( m/R \) and measures calculate properly where no confusion misinterpreted arises, each level relates back to similar triangles being core property for proportional angle use strategy rather than numeric curveballs encountered, leading to innumerate conditions not supposed in triangle properties.
Thus, towards finding angles \( P, Q, R \): Aggregate measure scenarios or offer adjustment comments towards translations in defining or share which format matches approach of similarity application.
Upon answer refinement or constants readjustment let me compile results in context with assigned angles confirmatively factoring angle sums toward known similarity using or confirm alternative method or goal oriented output specifically!