Question 117339
given:

{{{AB}}} || {{{CD}}}, and  abd cut by transversal {{{EFGH}}}


{{{EFB = 4x+5}}} and measure angle {{{FGD = 8x-13}}}

to find: measure angle {{{EFB}}}

since {{{AB}}} || {{{CD}}}, and  abd cut by transversal {{{EFGH}}}, => that {{{EFB}}} is {{{congruent}}} to {{{FGD}}}


then we have:  

{{{EFB=FGD}}}

{{{ 4x+5 = 8x-13}}} ..solve for {{{x}}}


{{{ 5 + 13 = 8x-4x}}} 

{{{ 18= 4x}}} 

{{{ 18/4 = x}}} 


{{{ 9/2 = x}}} 

{{{EFB = 4(9/2)+5}}} 

{{{EFB = 2(9)+5}}} 

{{{EFB = 18 + 5}}} 

{{{EFB = 23}}} 

check the other one:

{{{FGD = 8(9/2)-13}}}

{{{FGD = 4(9)-13}}}

{{{FGD = 36 - 13}}}

{{{FGD = 23}}}