Answer:
Part 1) Vertical angles
Part 2) Corresponding angles
Part 3) Transitive property
Explanation:
Part 1) We can tell that angles
and
are congruent because
------> by vertical angles
so
Angles
and
are congruent
Part 2) Angles 5 and 7 are congruent because
------> by corresponding angles
so
Angles
and
are congruent
Part 3) Angles
and
are congruent based on
we know that
The Transitive Property of Equality. states that
If
and
,
then

In this part we have


therefore
-----> by transitive property