1. which angle is congruent to angle 1?
angle 2
angle 5
angle 6
angle 7***
2. which can be used to directly prove that angle 1 =~ angle 8?
alternate interior angles theorem
corresponding angles postulate
same side interior angles theorem
alternate exterior angles theorem ***
3. if mangle5 = 42 degrees, what is mangle4?
42 degrees***
48 degrees
128 degrees
138 degrees
! my answers are under ***.

Part 1) which angle is congruent to Angle 1?

we know that

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles

m∠5=m∠1 ----------> by corresponding angles postulate

therefore

the answer Part 1) is

Angle

Part 2) Which can be used to directly prove that Angle 1 =~ Angle 8?

we know that

Alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.

in this problem

m∠1=m∠8 -------> by alternate exterior angles theorem

therefore

the answer part 2) is the option

Alternate Exterior Angles Theorem

Part 3) If m Angle 5 = 42 degrees, what is m Angle 4?

we know that

Alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal

m∠4=m∠5 --------> by alternate interior angles theorem

so

m∠4=

therefore

the answer Part 3) is