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Question
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huy is working on a proof that consecutive interior angles are supplementary
two column proof of consecutive interior angles are supplementary
statement
- ( m angle a + m angle c = 180^{circ} )
- ( m angle a = m angle e )
- ( m angle e + m angle c = 180^{circ} )
- ( angle e ) and ( angle c ) are supplementary
reason
linear pairs are supplementary
substitution
definition of supplementary angles
what is the missing reason in the proof?
(1 point)
corresponding angles postulate
vertical angles theorem
transitive property of equality
definition of congruence
$\angle A$ and $\angle E$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent. This is given by the Corresponding Angles Postulate.
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Corresponding Angles Postulate