Answer :

Since arcGJ represents half circle, then

[tex]arcGJ=180[/tex]

We can also note that

[tex]arcGJ=arcGH+arcHJ[/tex]

since arcGH measures 55 degrees, by substituting this value and our first result into this equation we get

[tex]180=55+arcHJ[/tex]

which gives

[tex]\begin{gathered} arcHJ=180-55 \\ arcHJ=125 \end{gathered}[/tex]

Therefore, arc HJ measures 125 degrees

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