Transformations and Similarity Unit Test

Question

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Question
△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=
°

Answer 1

Since the triangles △CDE and △PQR are similar, corresponding angles are congruent.

Given: m∠C = 13°, m∠D = 65°

Therefore, m∠P = 13°, m∠Q = (65° + 13°) = 78°, and m∠R = 78°.

Therefore, the measures of angles P, Q, and R are:
m∠P = 13°
m∠Q = 78°
m∠R = 78°