△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=
°
Since the triangles △CDE and △PQR are similar, their corresponding angles are congruent.
We know that m∠C = 13°, so m∠P = 13°.
Similarly, m∠D = 65°, so m∠Q = 65°.
Since the sum of the angles in a triangle is 180°, we can find m∠R:
m∠R = 180° - m∠P - m∠Q
= 180° - 13° - 65°
= 102°
Therefore, m∠P = 13°, m∠Q = 65°, and m∠R = 102°.