Question

Traingle CDE ~ Triangle PQR m Angle C=13, m Angle D= 65. Whata re the measures of Angles P,Q, and R?

Answer 1

are you sure/

Answer 2

Since triangle CDE is similar to triangle PQR (denoted as CDE ~ PQR), the corresponding angles are equal.

Given the measures of angles in triangle CDE:

- m∠C = 13°
- m∠D = 65°

We can find the measure of angle E using the fact that the sum of the angles in a triangle is 180°:

\[
m∠E = 180° - m∠C - m∠D
\]

\[
m∠E = 180° - 13° - 65° = 180° - 78° = 102°
\]

Now, since triangle CDE is similar to triangle PQR, we have:

- m∠P = m∠C = 13°
- m∠Q = m∠D = 65°
- m∠R = m∠E = 102°

So, the measures of angles P, Q, and R are:

- m∠P = 13°
- m∠Q = 65°
- m∠R = 102°