Chapter 4.2, Problem 53STP

To determine

The values of the exterior angle measure of the triangle.

Answer to Problem 53STP

The values of exterior angle measures are $145,115,100.$

Explanation of Solution

Given:

Two angles of a triangle have measures of 35 and 80 degrees.

Calculation:

The sum of all the angles of a triangle is 180.

Therefore, the measure of third angle will be:

  $180-\left(35+80\right)=65.$

The exterior angle and the adjacent angle make a linear pair.

The measure of exterior angle with adjacent angle of measure 35 degrees is:

  $180-35=145.$

The measure of exterior angle with adjacent angle of measure 65 degrees is:

  $180-65=115.$

The measure of exterior angle with adjacent angle of measure 80 degrees is:

  $180-80=100.$

So, the values of exterior angle measures are $145,115,100.$