Triangle cde ~ triangle pqr. C=13, D=65. What are the measures of angles P Q and R
Since triangle cde ~ triangle pqr, this means that the corresponding angles are equal.
Therefore, angle P = angle C = 13 degrees
Similarly, angle Q = angle D = 65 degrees
Since the sum of the angles in a triangle is always 180 degrees, we can find angle R by subtracting the sum of angles P and Q from 180 degrees:
Angle R = 180 - (13 + 65) = 180 - 78 = 102 degrees
Therefore, the measures of angles P, Q, and R in triangle pqr are 13 degrees, 65 degrees, and 102 degrees, respectively.