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Answer:
The answer is w = 10
Step-by-step explanation:
∵ GK bisects ∠FGH
∴ m∠FGK = m∠HGK
∵ m∠FGK = 6w + 8
∴ m∠FGH = 2(6w + 8) = 12w + 16
∵ m∠FGH = 136°
∴ 12w + 16 = 136
∴ 12w = 136 - 16 = 120
∴ w = 120 ÷ 12 = 10
The correct option is (C) 21.33
As we can see in the figure that total angle is FGH and it equals 136.
Angle FGK is a part of it and it equals 6w + 8
So solving the equation will give us the value of unknown
6w+8 = 136
6w = 136 - 8
6w = 128
w = 128/6
w = 21.33