Q:

1. which angle is congruent to Angle 1?Angle 2Angle 5Angle 6Angle 7***2. Which can be used to directly prove that Angle 1 =~ Angle 8?Alternate Interior Angles TheoremCorresponding Angles Postulate Same Side Interior Angles TheoremAlternate Exterior Angles Theorem ***3. If mAngle5 = 42 degrees, what is mAngle4?42 degrees***48 degrees 128 degrees138 degreesPlease help! My answers are under ***.

Accepted Solution

A:
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 anglesm∠5=m∠1 ----------> by corresponding angles postulatethereforethe answer Part 1) is Angle [tex]5[/tex]Part 2) Which can be used to directly prove that Angle 1 =~ Angle 8?we know thatAlternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.in this problemm∠1=m∠8 -------> by alternate exterior angles theoremthereforethe answer part 2) is the option Alternate Exterior Angles TheoremPart 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 transversalm∠4=m∠5 --------> by alternate interior angles theoremsom∠4=[tex]42\ degrees[/tex]thereforethe answer Part 3) is [tex]42\ degrees[/tex]