Answer:
1.Corresponding angles theorem
2.Linear postulate
3.By the definition of supplementary angles
Step-by-step explanation:
We are given that
is a transversal.
We have to prove and are supplementary
Proof:
1.Given that is a transversal.
We know that
<u>Reason:Corresponding angles theorem</u>
Therefore,
by the definition of congruent.We also know that, by definition, angle 3 and angle 1 are a linear pair.
Therefore, they are supplementary by linear pair postulate
By the definition of <em>supplementary angles</em>
Now, we can substitute
Then, we get
Therefore, by the definition of supplementary angles,angle 3 and angle 5 are supplementary