Question

Need Help.

Option 1- X=41
Option 2- Y=20
Option 3- <2=<3 by Vertical Angles Congruence Theorem
Option 4- <5=<6 by Corresponding Angles Theorem
Option 5- <4=<5 by the Alternate Interior Angles Theorem

Answer 1

Explanation:

option 1: x = 41

Reason:

<1 =139 { corresponding angles }

<2 = 180 - 139 = 41 ( <1 and <2 are linear pair}

x and <2 are corresponding angles.Hence x = 41

option 3 - <2 =<3 by vertical angles congruence

option 5 - <4 = <5by the alternate interior angles theorem