+0  
 
0
92
1
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.

 

 Jul 5, 2021
 #1
avatar+121048 
+1

Angle AEG  = angle EGF  =  x

And  because  EF  = FG , then angles  EGF  and GEF  are  equal  =  x

 

So

 

angle   BEF  +  angle GEF  +  angle  AEG  = 180

 

So

 

130 + x   + x  +  x   =  180

 

3x  + 130   =  180

 

3x   =180  -130

 

3x  =   50

 

x  = (50/3)°   =   (16 + 2/3)°

 

cool cool cool

 Jul 5, 2021

37 Online Users

avatar
avatar
avatar