Chapter 9, Problem 7CUR

To determine

The measure of each angle of a triangle.

Answer to Problem 7CUR

The measure of each angles of a triangle are $9^{°}$ , ${81}^{°}$ , ${90}^{°}$

Explanation of Solution

Given information:

It is given that the measures of the angles of a triangle are in the ratio $1:9:10$

Let the ratio quantity be x.

Therefore,

  $\begin{array}{c}x+9x+10x={180}^{°}\\ 20x={180}^{°}\\ x=\frac{{180}^{°}}{20}\\ x=9^{°}\end{array}$

So, the angles of triangles are

  $9^{°}$ , $9\times 9^{°}={81}^{°}$ , $10\times 9^{°}={90}^{°}$