Hello from MrBillDoesMath!
Answer:
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
