Answer:
m ∠ EFH = 31°
m ∠ HFG = 31°
Explanation:
Given: m ∠ EFG = 62°
Since : m ∠ EFG is the composition of two angle m ∠ EFH and m ∠ HFG.
So, we can set up the equation as:
m ∠ EFH + m ∠ HFG = m ∠ EFG
Substituting value:
(2x + 5)° + (3x -8)°= 62°
Simplify like terms:
5x - 3 = 62
Add 3 on both sides:
5x - 3 + 3 = 62 + 3
5x = 65
Divide both sides by 5.
x = 13
We can find the angle of m ∠ EFH and m ∠ HFG by substituting value of x.
m ∠ EFH = (2 × 13 + 5)° = (26 + 5)° = 31°
m ∠ HFG = (3 × 13 - 8)° = (39 - 8)° = 31°
Therefore,
m ∠ EFH = 31°
m ∠ EFH = 31°m ∠ HFG = 31°