Chapter 14, Problem 3CPE

To determine

To fill : in the blank.

Answer to Problem 3CPE

The measures of two angles of a triangle are $56\&62$ . The measure of the largest exterior angle of triangle is $\underset{\_}{124}$ .

Explanation of Solution

Given information : The measures of two angles of a triangle are $56\&62$ . The measure of the largest exterior angle of triangle is _________ .

The measures of two angles of a triangle are $56\&62$ . The measure of the largest exterior angle of triangle is $\underset{\_}{124}$ .

Let the third angle be $x$ .

  $\begin{array}{l}x+56+62=180\\ x+118=180\\ x=180-118\\ x=62\end{array}$

Thus, the smallest angle is $56$ .

So, the largest angle is:

  $180-56=124$