Answer:
m∠GFH = 59°
Explanation:
Since m∠EFH is the combination of two angles m∠EFG and m∠HFG.
Mathematically, we can write it as:
m∠EFH = m∠EFG + m∠GFH
Substitute the known value:
127° = (8x - 4)° + (5x + 14)°
127 = 8x - 4 + 5x + 14
Combine like terms:
127 = 13x + 10
Subtract 10 on both sides:
127 - 10 = 13x + 10 - 10
117 = 13x
Divide both sides by 13.
9 = x
x = 9
Now,
We can find the value of m∠GFH by substituting value of x.
m∠GFH = (5 × 9 + 14)° = (45+14)° = 59°
Therefore,
m∠GFH = 59°