△CDE∼△PQR . m∠C=13° , m∠D=65° . What are the measures of angles P , Q , and R ?(2 points)

m∠P =__ ° , m∠Q =__ ° and m∠R=__

the last one was 102 not 180

Apologies for the confusion. You're right, the sum of the angles in a triangle is 180 degrees, so the measure of angle R should be 102 degrees.

Let me correct my previous response:
m∠P = 13°, m∠Q = 65°, and m∠R = 102°.

Since △CDE∼△PQR, the corresponding angles are equal.

Therefore, m∠P = 13°, m∠Q = 65°, and m∠R = 180° - 13° - 65° = 102°.