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In the digram GH bisects FGI what is the answer for C.

In the digram GH bisects FGI what is the answer for C.-example-1
User Steven XM
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1 Answer

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The line GH bisects The triangle FGI meaning it divides it into two equal parts (that is the definition if bisection); therefore, the angles FGH and HGI are equal:


3x-2=4x-13

Now let us add 2 to both sides gives


3x=4x-11

subtracting 4x from both sides gives


-x=-11
x=11.

Hence, x = 11.

The measure of FGH is


3x-2=3(11)-2=31

(B)

The measure of HGI is


4x-13=4(11)-13=31

(C)

The measure of FGI is the sum of HGI and FGH:


\begin{gathered} \text{FGI}=\text{HGI}+\text{FGH}=31+31 \\ FGI=62^o \end{gathered}

User Vincent Bacalso
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