+0  
 
0
92
2
avatar

 In the diagram below, we have line AB is parallel to line CD, EF = FG, < BEF = 130 degrees + x degrees, and < AEG = x degrees. Find the value of x.

 

 Apr 12, 2022
 #1
avatar+124592 
+1

Since EAG   =x

 

Then EGF  = x   {since  EG is a transversal cutting parallel lines}

 

But since  EF  = FG  then angle FEG  also  = x 

 

So

 

BEF  + FEG  + AEG   =180

 

130 + x  + x +  x  =  180

 

130 + 3x  = 180

 

3x  =  180 - 130

 

3x  = 50

 

x = 50 / 3

 

 

 

cool cool cool

 Apr 12, 2022
 #2
avatar+114 
-2

yep 50/3

 Apr 12, 2022

14 Online Users