# 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
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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
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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
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
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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