McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which…

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Question

Chapter 2.4, Problem 35WE

To determine

To conclude: The given statement that the measure of an acute angle is equal to the difference between the measure of a supplement of the angle and twice the measure of a complement of the angle.

Expert Solution & Answer

Answer to Problem 35WE

The statement is true for all acute angles

Explanation of Solution

Given information:

The measure of a complement of an angle is exactly halt the measure of a supplement of the angle

Suppose that the measure of the angle be x

Then the measure of its supplement is 180−x

Then the measure of its complement is 90−x

The measure of an acute angle is equal to the difference between the measure of a supplement of the angle and twice the measure of a complement of the angle.

x=(180−x)−2(90−x)

Simplifying this gives

x=(180−x)−2(90−x)x=180−x−180+2xx=x

This implies that the statement "The measure of the acute angle is equal to the difference of the measure of the supplement of the angle and twice the measure of a complement of the angle", is true for all possible values of the acute angle x

Thus, the statement is true for all acute angles

Chapter 2.4, Problem 34WE

Chapter 2.4, Problem 1E

Chapter 2 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 2.1 - Prob. 1CE Ch. 2.1 - Prob. 2CE Ch. 2.1 - Prob. 3CE Ch. 2.1 - Prob. 4CE Ch. 2.1 - Prob. 5CE Ch. 2.1 - Prob. 6CE Ch. 2.1 - Prob. 7CE Ch. 2.1 - Prob. 8CE Ch. 2.1 - Prob. 9CE Ch. 2.1 - Prob. 10CE

Ch. 2.1 - Prob. 11CE Ch. 2.1 - Prob. 12CE Ch. 2.1 - Prob. 13CE Ch. 2.1 - Prob. 14CE Ch. 2.1 - Prob. 15CE Ch. 2.1 - Prob. 16CE Ch. 2.1 - Prob. 1WE Ch. 2.1 - Prob. 2WE Ch. 2.1 - Prob. 3WE Ch. 2.1 - Prob. 4WE Ch. 2.1 - Prob. 5WE Ch. 2.1 - Prob. 6WE Ch. 2.1 - Prob. 7WE Ch. 2.1 - Prob. 8WE Ch. 2.1 - Prob. 9WE Ch. 2.1 - Prob. 10WE Ch. 2.1 - Prob. 11WE Ch. 2.1 - Prob. 12WE Ch. 2.1 - Prob. 13WE Ch. 2.1 - Prob. 14WE Ch. 2.1 - Prob. 15WE Ch. 2.1 - Prob. 16WE Ch. 2.1 - Prob. 17WE Ch. 2.1 - Prob. 18WE Ch. 2.1 - Prob. 19WE Ch. 2.1 - Prob. 20WE Ch. 2.1 - Prob. 21WE Ch. 2.1 - Prob. 22WE Ch. 2.1 - Prob. 23WE Ch. 2.1 - Prob. 24WE Ch. 2.1 - Prob. 25WE Ch. 2.1 - Prob. 26WE Ch. 2.1 - Prob. 27WE Ch. 2.1 - Prob. 28WE Ch. 2.1 - Prob. 29WE Ch. 2.1 - Prob. 30WE Ch. 2.1 - Prob. 31WE Ch. 2.1 - Prob. 1MRE Ch. 2.1 - Prob. 2MRE Ch. 2.1 - Prob. 3MRE Ch. 2.1 - Prob. 4MRE Ch. 2.2 - Prob. 1CE Ch. 2.2 - Prob. 2CE Ch. 2.2 - Prob. 3CE Ch. 2.2 - Prob. 4CE Ch. 2.2 - Prob. 5CE Ch. 2.2 - Prob. 6CE Ch. 2.2 - Prob. 7CE Ch. 2.2 - Prob. 8CE Ch. 2.2 - Prob. 9CE Ch. 2.2 - Prob. 10CE Ch. 2.2 - Prob. 11CE Ch. 2.2 - Prob. 12CE Ch. 2.2 - Prob. 1WE Ch. 2.2 - Prob. 2WE Ch. 2.2 - Prob. 3WE Ch. 2.2 - Prob. 4WE Ch. 2.2 - Prob. 5WE Ch. 2.2 - Prob. 6WE Ch. 2.2 - Prob. 7WE Ch. 2.2 - Prob. 8WE Ch. 2.2 - Prob. 9WE Ch. 2.2 - Prob. 10WE Ch. 2.2 - Prob. 11WE Ch. 2.2 - Prob. 12WE Ch. 2.2 - Prob. 13WE Ch. 2.2 - Prob. 14WE Ch. 2.2 - Prob. 15WE Ch. 2.3 - Prob. 1CE Ch. 2.3 - Prob. 2CE Ch. 2.3 - Prob. 3CE Ch. 2.3 - Prob. 4CE Ch. 2.3 - Prob. 5CE Ch. 2.3 - Prob. 6CE Ch. 2.3 - Prob. 7CE Ch. 2.3 - Prob. 8CE Ch. 2.3 - Prob. 9CE Ch. 2.3 - Prob. 10CE Ch. 2.3 - Prob. 1WE Ch. 2.3 - Prob. 2WE Ch. 2.3 - Prob. 3WE Ch. 2.3 - Prob. 4WE Ch. 2.3 - Prob. 5WE Ch. 2.3 - Prob. 6WE Ch. 2.3 - Prob. 7WE Ch. 2.3 - Prob. 8WE Ch. 2.3 - Prob. 9WE Ch. 2.3 - Prob. 10WE Ch. 2.3 - Prob. 11WE Ch. 2.3 - Prob. 12WE Ch. 2.3 - Prob. 13WE Ch. 2.3 - Prob. 14WE Ch. 2.3 - Prob. 15WE Ch. 2.3 - Prob. 16WE Ch. 2.3 - Prob. 17WE Ch. 2.3 - Prob. 18WE Ch. 2.3 - Prob. 19WE Ch. 2.3 - Prob. 20WE Ch. 2.3 - Prob. 21WE Ch. 2.3 - Prob. 22WE Ch. 2.3 - Prob. 1E Ch. 2.3 - Prob. 2E Ch. 2.3 - Prob. 3E Ch. 2.3 - Prob. 1ST1 Ch. 2.3 - Prob. 2ST1 Ch. 2.3 - Prob. 3ST1 Ch. 2.3 - Prob. 4ST1 Ch. 2.3 - Prob. 5ST1 Ch. 2.3 - Prob. 6ST1 Ch. 2.3 - Prob. 7ST1 Ch. 2.3 - Prob. 8ST1 Ch. 2.4 - Prob. 1CE Ch. 2.4 - Prob. 2CE Ch. 2.4 - Prob. 3CE Ch. 2.4 - Prob. 4CE Ch. 2.4 - Prob. 5CE Ch. 2.4 - Prob. 6CE Ch. 2.4 - Prob. 7CE Ch. 2.4 - Prob. 8CE Ch. 2.4 - Prob. 9CE Ch. 2.4 - Prob. 10CE Ch. 2.4 - Prob. 11CE Ch. 2.4 - Prob. 12CE Ch. 2.4 - Prob. 13CE Ch. 2.4 - Prob. 14CE Ch. 2.4 - Prob. 15CE Ch. 2.4 - Prob. 16CE Ch. 2.4 - Prob. 17CE Ch. 2.4 - Prob. 18CE Ch. 2.4 - Prob. 19CE Ch. 2.4 - Prob. 20CE Ch. 2.4 - Prob. 21CE Ch. 2.4 - Prob. 1WE Ch. 2.4 - Prob. 2WE Ch. 2.4 - Prob. 3WE Ch. 2.4 - Prob. 4WE Ch. 2.4 - Prob. 5WE Ch. 2.4 - Prob. 6WE Ch. 2.4 - Prob. 7WE Ch. 2.4 - Prob. 8WE Ch. 2.4 - Prob. 9WE Ch. 2.4 - Prob. 10WE Ch. 2.4 - Prob. 11WE Ch. 2.4 - Prob. 12WE Ch. 2.4 - Prob. 13WE Ch. 2.4 - Prob. 14WE Ch. 2.4 - Prob. 15WE Ch. 2.4 - Prob. 16WE Ch. 2.4 - Prob. 17WE Ch. 2.4 - Prob. 18WE Ch. 2.4 - Prob. 19WE Ch. 2.4 - Prob. 20WE Ch. 2.4 - Prob. 21WE Ch. 2.4 - Prob. 22WE Ch. 2.4 - Prob. 23WE Ch. 2.4 - Prob. 24WE Ch. 2.4 - Prob. 25WE Ch. 2.4 - Prob. 26WE Ch. 2.4 - Prob. 27WE Ch. 2.4 - Prob. 28WE Ch. 2.4 - Prob. 29WE Ch. 2.4 - Prob. 30WE Ch. 2.4 - Prob. 31WE Ch. 2.4 - Prob. 32WE Ch. 2.4 - Prob. 33WE Ch. 2.4 - Prob. 34WE Ch. 2.4 - Prob. 35WE Ch. 2.4 - Prob. 1E Ch. 2.4 - Prob. 2E Ch. 2.4 - Prob. 3E Ch. 2.4 - Prob. 4E Ch. 2.5 - Prob. 1CE Ch. 2.5 - Prob. 2CE Ch. 2.5 - Prob. 3CE Ch. 2.5 - Prob. 4CE Ch. 2.5 - Prob. 5CE Ch. 2.5 - Prob. 6CE Ch. 2.5 - Prob. 7CE Ch. 2.5 - Prob. 8CE Ch. 2.5 - Prob. 9CE Ch. 2.5 - Prob. 10CE Ch. 2.5 - Prob. 11CE Ch. 2.5 - Prob. 1WE Ch. 2.5 - Prob. 2WE Ch. 2.5 - Prob. 3WE Ch. 2.5 - Prob. 4WE Ch. 2.5 - Prob. 5WE Ch. 2.5 - Prob. 6WE Ch. 2.5 - Prob. 7WE Ch. 2.5 - Prob. 8WE Ch. 2.5 - Prob. 9WE Ch. 2.5 - Prob. 10WE Ch. 2.5 - Prob. 11WE Ch. 2.5 - Prob. 12WE Ch. 2.5 - Prob. 13WE Ch. 2.5 - Prob. 14WE Ch. 2.5 - Prob. 15WE Ch. 2.5 - Prob. 16WE Ch. 2.5 - Prob. 17WE Ch. 2.5 - Prob. 18WE Ch. 2.5 - Prob. 19WE Ch. 2.5 - Prob. 20WE Ch. 2.5 - Prob. 21WE Ch. 2.5 - Prob. 22WE Ch. 2.5 - Prob. 23WE Ch. 2.5 - Prob. 24WE Ch. 2.5 - Prob. 25WE Ch. 2.5 - Prob. 26WE Ch. 2.5 - Prob. 27WE Ch. 2.5 - Prob. 28WE Ch. 2.5 - Prob. 29WE Ch. 2.5 - Prob. 1MRE Ch. 2.5 - Prob. 2MRE Ch. 2.5 - Prob. 3MRE Ch. 2.5 - Prob. 4MRE Ch. 2.5 - Prob. 5MRE Ch. 2.5 - Prob. 6MRE Ch. 2.5 - Prob. 7MRE Ch. 2.6 - Prob. 1CE Ch. 2.6 - Prob. 2CE Ch. 2.6 - Prob. 3CE Ch. 2.6 - Prob. 4CE Ch. 2.6 - Prob. 5CE Ch. 2.6 - Prob. 6CE Ch. 2.6 - Prob. 7CE Ch. 2.6 - Prob. 8CE Ch. 2.6 - Prob. 9CE Ch. 2.6 - Prob. 10CE Ch. 2.6 - Prob. 1WE Ch. 2.6 - Prob. 2WE Ch. 2.6 - Prob. 3WE Ch. 2.6 - Prob. 4WE Ch. 2.6 - Prob. 5WE Ch. 2.6 - Prob. 6WE Ch. 2.6 - Prob. 7WE Ch. 2.6 - Prob. 8WE Ch. 2.6 - Prob. 9WE Ch. 2.6 - Prob. 10WE Ch. 2.6 - Prob. 11WE Ch. 2.6 - Prob. 12WE Ch. 2.6 - Prob. 13WE Ch. 2.6 - Prob. 14WE Ch. 2.6 - Prob. 15WE Ch. 2.6 - Prob. 16WE Ch. 2.6 - Prob. 17WE Ch. 2.6 - Prob. 18WE Ch. 2.6 - Prob. 19WE Ch. 2.6 - Prob. 20WE Ch. 2.6 - Prob. 21WE Ch. 2.6 - Prob. 22WE Ch. 2.6 - Prob. 23WE Ch. 2.6 - Prob. 24WE Ch. 2.6 - Prob. 25WE Ch. 2.6 - Prob. 1ST2 Ch. 2.6 - Prob. 2ST2 Ch. 2.6 - Prob. 3ST2 Ch. 2.6 - Prob. 4ST2 Ch. 2.6 - Prob. 5ST2 Ch. 2.6 - Prob. 6ST2 Ch. 2.6 - Prob. 7ST2 Ch. 2.6 - Prob. 8ST2 Ch. 2.6 - Prob. 9ST2 Ch. 2.6 - Prob. 1E Ch. 2.6 - Prob. 2E Ch. 2.6 - Prob. 3E Ch. 2.6 - Prob. 4E Ch. 2.6 - Prob. 5E Ch. 2 - Prob. 1CR Ch. 2 - Prob. 2CR Ch. 2 - Prob. 3CR Ch. 2 - Prob. 4CR Ch. 2 - Prob. 5CR Ch. 2 - Prob. 6CR Ch. 2 - Prob. 7CR Ch. 2 - Prob. 8CR Ch. 2 - Prob. 9CR Ch. 2 - Prob. 10CR Ch. 2 - Prob. 11CR Ch. 2 - Prob. 12CR Ch. 2 - Prob. 13CR Ch. 2 - Prob. 14CR Ch. 2 - Prob. 15CR Ch. 2 - Prob. 16CR Ch. 2 - Prob. 17CR Ch. 2 - Prob. 18CR Ch. 2 - Prob. 19CR Ch. 2 - Prob. 20CR Ch. 2 - Prob. 1CT Ch. 2 - Prob. 2CT Ch. 2 - Prob. 3CT Ch. 2 - Prob. 4CT Ch. 2 - Prob. 5CT Ch. 2 - Prob. 6CT Ch. 2 - Prob. 7CT Ch. 2 - Prob. 8CT Ch. 2 - Prob. 9CT Ch. 2 - Prob. 10CT Ch. 2 - Prob. 11CT Ch. 2 - Prob. 12CT Ch. 2 - Prob. 1AR Ch. 2 - Prob. 2AR Ch. 2 - Prob. 3AR Ch. 2 - Prob. 4AR Ch. 2 - Prob. 5AR Ch. 2 - Prob. 6AR Ch. 2 - Prob. 7AR Ch. 2 - Prob. 8AR Ch. 2 - Prob. 9AR Ch. 2 - Prob. 10AR Ch. 2 - Prob. 11AR Ch. 2 - Prob. 12AR Ch. 2 - Prob. 13AR Ch. 2 - Prob. 14AR Ch. 2 - Prob. 15AR Ch. 2 - Prob. 16AR Ch. 2 - Prob. 17AR Ch. 2 - Prob. 18AR Ch. 2 - Prob. 1CUR Ch. 2 - Prob. 2CUR Ch. 2 - Prob. 3CUR Ch. 2 - Prob. 4CUR Ch. 2 - Prob. 5CUR Ch. 2 - Prob. 6CUR Ch. 2 - Prob. 7CUR Ch. 2 - Prob. 8CUR Ch. 2 - Prob. 9CUR Ch. 2 - Prob. 10CUR Ch. 2 - Prob. 11CUR Ch. 2 - Prob. 12CUR Ch. 2 - Prob. 13CUR Ch. 2 - Prob. 14CUR Ch. 2 - Prob. 15CUR Ch. 2 - Prob. 16CUR Ch. 2 - Prob. 17CUR Ch. 2 - Prob. 18CUR Ch. 2 - Prob. 19CUR Ch. 2 - Prob. 20CUR Ch. 2 - Prob. 21CUR Ch. 2 - Prob. 22CUR Ch. 2 - Prob. 23CUR Ch. 2 - Prob. 24CUR Ch. 2 - Prob. 25CUR

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