Chapter PS, Problem 3.8P

To determine

To find: The measures of the other two angles of the given triangle.

Answer to Problem 3.8P

The measures of the other two angles of the given triangle are $32°\text{and 38}°$ .

Explanation of Solution

Given information:

The product of the two angles is $1216$ and the remaining angle is $110°$ .

As per the given condition,

  $\begin{array}{l}xy=1216\\ x=\frac{1216}{y}\end{array}$

The angle is calculated as,

  $\begin{array}{l}110+x+y=180\\ \frac{1216}{y}+y=70\\ y^2-70y+1216=0\\ y=32°\text{and 38}°\end{array}$

Thus, the measures of the other two angles of the given triangle are $32°\text{and 38}°$ .