plz help ME I do not understand this question
Answer:
The answer ⇒ w = 5
Step-by-step explanation:
∵ GK bisects ∠FGH
∴ m∠FGK = m∠HGK
∵ m∠FGK = 12w + 7
∴ m∠FGH = 2(12w + 7) = 24w + 14
∵ m∠FGH = 134°
∴ 24w + 14 = 134
∴ 24w = 134 - 14 = 120
∴ w = 120 ÷ 24 = 5
The answer is 10.58
If we look at the image there is an angle FGH which is 134.
The angle FGK is just a part of it.
So we can find the part then we must solve the equation in order to find the unknown.
12w + 7 = 134
Subtracting 7 from both sides
12w + 7 -7 = 134 - 7
12w = 127
Dividing both sides by 12
12w / 12 = 127 / 12
w = 10.58