The missing reasons are;
Definition of linear pair.
Definition of supplementary angles.
Substitution.
Subtraction property of equality.
Definition of congruence.
<h3>What is the Angle proof?</h3>
The angles are supplementary because the angles 1 and 2, 2 and 3 form a linear pair and thus because of the definition of linear pair, they are supplementary angles.
The sum of angles of 1 and 2, 2 and 3 is equal to 180 because these pair of angles are supplementary angles. Supplementary angles are those angles whose sum is 180 degrees.
Reason 5:
m∠1 + m∠2 = 180°
m∠2 + m∠3 = 180°
Substitute m∠2 + m∠3 in place of 180 for the first sum.
So, m∠1 + m∠2 = m∠2 + m∠3
Using subtraction property of equality and thus we get:
m∠1 = m∠3
As angle 1 is equal to angle 3, therefore by definition of congruence, these angles are congruent.
So, m∠1 ≅ m∠3
Read more about Angle Proof at; brainly.com/question/24839702
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