Answer:
The missing statement is Corresponding angles theorem
Step-by-step explanation:
In this question we are finding the reason for the statement ∠6 ≅ ∠2.
We will write the statements and then we'll give their reasons.
<u> Statement </u> <u>Reason</u>
1) a || b, is a transversal Given
2) ∠6 ≅ ∠2 <em> </em><u><em>Corresponding angles theorem </em></u>
3) m∠6 = m∠2 def. of congruent
4) ∠6 is supp. to ∠8 def. of linear pair
5) ∠2 is supp. to ∠8 congruent supplements theorem
Corresponding Angles Theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
The angles in matching corners are called Corresponding Angles.We can further define it as corresponding angles are angles that are in the same relative position at an intersection of a transversal and at least two lines. If the two lines are parallel then the corresponding angles are congruent
Thus the missing statement is Corresponding Angles Theorem.
