Question 163582
I'm guessing here, but is this the problem?? 

{{{drawing( 400, 400, -5, 10, -5, 10,
  
locate(-2.5,8,E),
locate(0,-.5,G),
locate(7.3,7.8,A),
locate(9.3,0,B),
  line( 0, 0, -2, 7 ),
  line( 0, 0, 7, 7 ),
  line( 0, 0, 9, 0 )
  )}}}

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If not, could you please be more specific.
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If it is then,
Angle EGB=Angle AGE+Angle BGA
{{{6x+15=(5x-5)+2x}}}
{{{6x+15=7x-5}}}
{{{6x-7x+15=7x-7x-5}}} Subtract 7x from both sides.
{{{-x+15=-5}}} Simplify.
{{{-x+15-15=-5-15}}} Subtract 15 from both sides.
{{{-x=-20}}} Simplify.
{{{x=20}}} Multiply both sides by (-1).
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x=20 degrees
From that, then,
Angle BGA=2x=2(20)=40 degrees