# STATEMENTS 21 and 22 are supplementary. 22 and 23 are supplementary. m/1 + m/2 = 180 °, m/2 + m/3 = 180 ° m/1+m/2= m/2 + m/3 m/1 = m/3 REASONS Given
# STATEMENTS 21 and 22 are supplementary. 22 and 23 are supplementary. m/1 + m/2 = 180 °, m/2 + m/3 = 180 ° m/1+m/2= m/2 + m/3 m/1 = m/3 REASONS Given
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 67E
Related questions
Question
PROVING A THEOREM Give the reasons for the proof of Consecutive Interior Angles Converse
Given: angle 1 and angle 2 are supplementary
Prove: p || q
![+
STATEMENTS
21 and 22 are supplementary.
22 and 23 are supplementary.
m/1 + m/2 = 180 °, m/2 + m/3 = 180°
m/1+m/2=m/2+m/3
m/1 = m/3
REASONS
Given](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F085dfbe8-c238-4b0e-8a6d-74f42f2e61c5%2F6329aeae-d3f0-4470-8ae8-49e5db8db7dd%2F8pgu589_processed.jpeg&w=3840&q=75)
Transcribed Image Text:+
STATEMENTS
21 and 22 are supplementary.
22 and 23 are supplementary.
m/1 + m/2 = 180 °, m/2 + m/3 = 180°
m/1+m/2=m/2+m/3
m/1 = m/3
REASONS
Given
![m/1 = m/3
21 23
pl|q
:: Linear Pair Postulate
Alternate Exterior Angles
Converse
Consecutive Interior Angles
Theorem
:: Subtraction Property of Equality
Corresponding Angles Converse
:: Substitution Property of Equality
:: Definition of congruent angles
:
Definition of supplementary angles
:: Transitive Property of Equality](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F085dfbe8-c238-4b0e-8a6d-74f42f2e61c5%2F6329aeae-d3f0-4470-8ae8-49e5db8db7dd%2F6dca4hu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:m/1 = m/3
21 23
pl|q
:: Linear Pair Postulate
Alternate Exterior Angles
Converse
Consecutive Interior Angles
Theorem
:: Subtraction Property of Equality
Corresponding Angles Converse
:: Substitution Property of Equality
:: Definition of congruent angles
:
Definition of supplementary angles
:: Transitive Property of Equality
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