Respuesta :

Answer:

The measure of angle R is [tex]28.07\°[/tex]

Step-by-step explanation:

we know that

In the right triangle PRQ

The cosine of angle R is equal to the adjacent side angle R divided by the hypotenuse

so

[tex]cos(R)=\frac{QR}{PR}[/tex]

substitute the values

[tex]cos(R)=\frac{15}{17}[/tex]

[tex]R=arccos(\frac{15}{17})=28.07\°[/tex]