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\(If $\overline{AD} \| \overline{FG}\) how many degrees are in angle EFG ?

 Mar 26, 2020
edited by helpppp  Mar 26, 2020
 #1
avatar+111330 
+1

Since  AD  is parallel to  FG....then angle AEF  = angle EFG  [  alternate interior angles ]

 

Then

 

BEC  + BEA  + AEF  =  180

 

2x + x  + 1.5x    =  180

 

4.5x  =  180

 

x  = 180 / 4.5

 

x  = 40 

 

So

 

EFG  =   1.5 (40)  =   60°

 

 

cool cool cool

 Mar 26, 2020
 #2
avatar+1970 
+1

Nice, Chris!!!!!1

CalTheGreat  Mar 26, 2020
 #3
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x + 2x + 1.5x = 4.5x

4.5x = 180°

x = 180° / 4.5

x = 40

Angle  EFG = 1.5 * x = 60°  smiley

 Mar 27, 2020

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