Chapter 8.3, Problem 61SPR

To determine

The measure of the three angles.

Answer to Problem 61SPR

  $\begin{array}{l}5x=45°\\ 7x=63°\\ 8x=72°\end{array}$

Explanation of Solution

Given:

The angles are in ratio $5:7:8$

Calculation:

The sum of angle of triangle is 180 degrees. Therefore,

  $\begin{array}{l}5x+7x+8x=180\\ 20x=180\\ x=90\end{array}$

The values of angles will be:

  $\begin{array}{l}5x=5\left(9\right)=45°\\ 7x=7\left(9\right)=63°\\ 8x=8\left(9\right)=72°\end{array}$