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ChopinTheChicken

Hey there! I'm happy to help!

Angles A and B are alternate exterior angles: they are on the outside of the parallel lines and opposite sides of the transversal. This means that they are congruent. So, we can set up an equation.

6x-2=4x+48

We subtract 4x from both sides.

2x-2=48

We add 2 to both sides.

2x=50

Divide both sides by 2.

x=25.

Have a wonderful day! :D

ricchad

Answer:

x = 25

∠A = 148  

Step-by-step explanation:

opposite exterior angle ∠A = ∠B

where

∠A = 6x - 2°

∠B = 4x + 48°

6x - 2° = 4x + 48°

6x - 4x = 48° + 2°

2x = 50°

x = 50°/2

x = 25

plugin x into ∠A = 6x - 2°        

∠A = 6(25) - 2°                          

∠A = 148                                    

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