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(a)
To state: whether the given statement is true or false for supplementary
(a)
![Check Mark](/static/check-mark.png)
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
An angle is a figure formed by two rays that share a common vertex.
Consider the following figure:
Here, rays
The given statement is “Two angles are supplementary if the sum of their measures is
This statement is true.
Consider the following figure:
Here, as
So,
(b)
To state: the converse of the given statement
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 3MRE
The converse is “If sum of measure of two angles is
Explanation of Solution
First, write the definition of supplementary angles.
Two angles are known as supplementary if their sum is
The given statement is “Two angles are supplementary if the sum of their measures is
The converse is “If sum of measure of two angles is
(c)
To state: whether the converse of the given statement is true or false.
(c)
![Check Mark](/static/check-mark.png)
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
The given statement is “Two angles are supplementary if the sum of their measures is
The converse is “If sum of measure of two angles is
Here, the converse is true because as per the definition if sum of measure of two angles is
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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