McDougal Littell Jurgensen Geometry: Student Edition Geometry
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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Chapter 3.2, Problem 3MRE

(a)

To determine

To state: whether the given statement is true or false for supplementary angles.

(a)

Expert Solution
Check Mark

Answer to Problem 3MRE

The given statement is true

Explanation of Solution

Given information:

The given statement is “Two angles are supplementary if the sum of their measures is 180°

An angle is a figure formed by two rays that share a common vertex.

Consider the following figure:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.2, Problem 3MRE , additional homework tip  1

Here, rays l,m are two rays that share a common vertex O . Here, the angle formed is O .

The given statement is “Two angles are supplementary if the sum of their measures is 180°

This statement is true.

Consider the following figure:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.2, Problem 3MRE , additional homework tip  2

Here, as 1,2 lie on a straight line, 1+2=180°

So, 1,2 are said to be supplementary angles.

(b)

To determine

To state: the converse of the given statement

(b)

Expert Solution
Check Mark

Answer to Problem 3MRE

The converse is “If sum of measure of two angles is 180° , then they are supplementary”

Explanation of Solution

First, write the definition of supplementary angles.

Two angles are known as supplementary if their sum is 180° .

The given statement is “Two angles are supplementary if the sum of their measures is 180°

The converse is “If sum of measure of two angles is 180° , then they are supplementary”

(c)

To determine

To state: whether the converse of the given statement is true or false.

(c)

Expert Solution
Check Mark

Answer to Problem 3MRE

The converse is true.

Explanation of Solution

First, write the definition of supplementary angles.

Two angles are known as supplementary if their sum is 180° .

The given statement is “Two angles are supplementary if the sum of their measures is 180°

The converse is “If sum of measure of two angles is 180° , then they are supplementary”

Here, the converse is true because as per the definition if sum of measure of two angles is 180° , then they are said to be supplementary.

Chapter 3 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 3.1 - Prob. 11CECh. 3.1 - Prob. 12CECh. 3.1 - Prob. 13CECh. 3.1 - Prob. 14CECh. 3.1 - Prob. 15CECh. 3.1 - Prob. 16CECh. 3.1 - Prob. 17CECh. 3.1 - Prob. 18CECh. 3.1 - Prob. 19CECh. 3.1 - Prob. 1WECh. 3.1 - Prob. 2WECh. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 5WECh. 3.1 - Prob. 6WECh. 3.1 - Prob. 7WECh. 3.1 - Prob. 8WECh. 3.1 - Prob. 9WECh. 3.1 - Prob. 10WECh. 3.1 - Prob. 11WECh. 3.1 - Prob. 12WECh. 3.1 - Prob. 13WECh. 3.1 - Prob. 14WECh. 3.1 - Prob. 15WECh. 3.1 - Prob. 16WECh. 3.1 - Prob. 17WECh. 3.1 - Prob. 18WECh. 3.1 - Prob. 19WECh. 3.1 - Prob. 20WECh. 3.1 - Prob. 21WECh. 3.1 - Prob. 22WECh. 3.1 - Prob. 23WECh. 3.1 - Prob. 24WECh. 3.1 - Prob. 25WECh. 3.1 - Prob. 26WECh. 3.1 - Prob. 27WECh. 3.1 - Prob. 28WECh. 3.1 - Prob. 29WECh. 3.1 - Prob. 30WECh. 3.1 - Prob. 31WECh. 3.1 - Prob. 32WECh. 3.1 - Prob. 33WECh. 3.1 - Prob. 34WECh. 3.1 - Prob. 35WECh. 3.1 - Prob. 36WECh. 3.1 - Prob. 37WECh. 3.1 - Prob. 38WECh. 3.1 - Prob. 39WECh. 3.1 - Prob. 40WECh. 3.1 - Prob. 41WECh. 3.1 - 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