Find x and explain got a test tomorrow and i’m lost in the sauce : (

Hello from MrBillDoesMath!

x = 11

Discussion:

Line KHF has 180 degrees so

(11x + 4) + angle GHF = 180      =>

angle GHF = 180 - (11x + 4)        =>

angle GHF  = 176 - 11x       (*)

Triangle GHF has 180 degrees  =>

60 + (6x-1)  + angle GHF = 180

Substituting the value of angle GHF from (*) above gives

60 + (6x -1) + (176 -11x) = 180    =>

(60 + 176 -1) + (6x - 11x) = 180   =>

(235)            + ( -5x )      = 180    =>    subtract 235 from both sides

-5x = 180 - 235  =>

-5x = -55            => divide both sides by 5

x = 55/5 = 11

Thank you,

MrB

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step-by-step explanation: