   Chapter 2.4, Problem 45E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 45 to 47, write a formal proof for each corollary.The measure of an exterior angle of a triangle equals the sum of the measures of the two nonadjacent interior angles.

To determine

To prove:

The measure of an exterior angle of a triangle equals the sum of the measures of the two nonadjacent interior angles or not.

Explanation

Approach:

The sum of the three angles in a triangle is 180°.

Calculation:

Consider the triangle as ΔABC with interior angles as m1, m2, m3 and exterior angle at point C as m4.

Figure (1)

Calculate the angles of the right triangle.

m1+m2+m3=180°……(1)

Since, the sum of measures of two supplementary angles is 180°.

m3+m4=180°……(2)

Substitute equation (2) in the equation (1).

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

Convert the expressions in Exercises 6584 to power form. 35x2

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluate the integral. 02sin2(13)d

Calculus (MindTap Course List)

In Exercises 5-10, solve for y in terms of x. 4x+y=7

Calculus: An Applied Approach (MindTap Course List)

In Exercises 4562, find the values of x that satisfy the inequality (inequalities). 48. 12 3x

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Evaluate limx26x23x1.

Single Variable Calculus

Sometimes, Always, or Never: dx equals the area between y = f(x), the x-axis, x = a, and x = b.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 