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 [tex]5[/tex]
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=[tex]42\ degrees[/tex]
therefore
the answer Part 3) is
[tex]42\ degrees[/tex]
