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QUESTION IS IN IMAGE! DONT NEED TO SHOE WORK JUST NEED THE ANSWER!

QUESTION IS IN IMAGE! DONT NEED TO SHOE WORK JUST NEED THE ANSWER!-example-1

1 Answer

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Solution:

From the given circle


\begin{gathered} reflex\text{ m}\angle FEH=128\degree+126\degree=254\degree \\ reflex\text{ m}\angle FEH=254\degree \end{gathered}

Then,


\begin{gathered} m\angle FEH=360-254\degree=106\degree \\ m\angle FEH=106\degree \end{gathered}

To find ∠FGH,


m\angle FGH=(1)/(2)m\angle FEH

Substitute for ∠FEH


\begin{gathered} m\angle FGH=(1)/(2)*106\degree=53\degree \\ m\angle FGH=53\degree \end{gathered}

Hence, ∠FGH is 53°

User Shulamit
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