The measure of angle EFH, m ∠EFH is 71°
The measure of angle EFG, m ∠EFG is 142°
Calculating angles
From the question, we are to determine the measure of angle EFH and angle EFG
From the given information, we have that
FH bisects ∠EFG.
Thus, we can write that
m ∠EFH = m ∠GFH
From the given information,
m ∠GFH = 71°
∴ m ∠EFH = 71°
Also,
Since FH bisects ∠EFG
Then,
m ∠EFH + m ∠GFH = m ∠EFG
71° + 71° = m ∠EFG
142° = m ∠EFG
m ∠EFG = 142°
Hence, the measure of angle EFH, m ∠EFH is 71°
The measure of angle EFG, m ∠EFG is 142°
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