   Chapter 2.4, Problem 23E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
4 views

# Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the measures of the three exterior angle of the triangles?

To determine

To find:

The sum of the measures of three exterior angles of the triangle.

Explanation

Consider the following triangle.

Figure (1)

(1) Sum of three angles in a triangle is equal to 180°.

(2) The measure of an exterior of a triangle is equal to the sum of the measures of two non-adjacent interior angles.

Calculation:

Equate the sum of all three angles of triangle to 180°.

m1+m2+m3=180°

Equate the exterior of a triangle is to the sum of the measures of two non-adjacent interior angles.

m4=+m2+m3(1)

m5=+m1+m3(2)

m6=+m1+m2(3)

Add equation (1), (2), and (3) in order to obtain the sum of exterior angles.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 